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How to translate out of normal fractions to decimal. Ordinary and decimal fractions and actions on them

Onions, beets, carrots

A sufficient number of people are asked about how to translate an ordinary fraction in fraction decimal. There are several ways. The choice of a particular method depends on the type of fraction, which must be translated into another species, or rather, from the number in its denominator. However, it is necessary to indicate that the ordinary fraction is a fraction that is written with a numerator and denominator, for example, 1/2. More often, the trace between the numerator and the denominator is carried out horizontally, not obliquely. The decimal fraction is written by an ordinary semicolon: for example, 1.25; 0.35, etc.

So, in order to translate an ordinary fraction in a decimal without a calculator, it is necessary:

Pay attention to the denominator of ordinary fraction. If the denominator can easily set up to 10 to the same number with the numerator, then this method should be used as the most simple. For example, an ordinary fraction 1/2 is easily multiplied in the numerator and denominator to 5, the result is the number 5/10, which can already be recorded by a decimal fraction: 0.5. This rule is based on the fact that the decimal fraction always has a round number in the denominator: 10, 100, 1000 and the like. Therefore, if you multiply the numerator and denominator of the fraction, then it is necessary to obtain this number in the denominator as a result of multiplication, regardless of what is obtained in the numerator.

There are ordinary fractions, the counting of which after multiplication represents certain difficulties. For example, it is difficult to determine how much it should multiply 5/16 fraction to get one of the above numbers in the denominator. In this case, you should use the usual division that is made by the Stage. The response should turn out a decimal fraction that marks the end of the translation operation. In the above example, it turns out a number equal to 0.3125. If the calculations of the column represent difficulties, then without the help of the calculator can no longer do.

Finally, there are ordinary fractions, which are not translated into decimal. For example, when translating ordinary fraction 4/3, the result is 1.33333, where the triple is repeated to infinity. The calculator also does not save from the repeated triple. There are several such fractions, they need to just know. The output from the given situation may be rounding if the conditions of the sample example or the task are allowed to round. If the conditions do not allow this, and the answer must be written in the form of a decimal fraction, it means that an example or task is solved incorrectly, and you should return to several steps back to detect an error.

Thus, to translate an ordinary fraction in a decimal is quite simple, with this task it is not difficult to cope without the help of the calculator. It is even easier to translate decimal fractions into ordinary, performing the actions of the reverse described in the method 1.

Video: Grade 6. Translation of ordinary fraction in a decimal fraction.

Drobi.

Attention!
This topic has additional
Materials in a special section 555.
For those who are strongly "not very ..."
And for those who are "very ...")

The fractions in high schools are not very annoyed. For the time being. So far, do not come up with degrees with rational indicators and logarithms. And here .... You give, you give a calculator, and he all the complete scoreboard does not seem to. I have to think about thinking as in the third grade.

Let's figure out with the fractions finally! Well, how much can you get confused!? Moreover, it's simple and logical. So, what are the fractions?

Types of fractions. Conversion.

The fraraty is three species.

1. Ordinary fractions , eg:

Sometimes instead of horizontal screenshots, they put an inclined line: 1/2, 3/4, 19/5, well, and so on. Here we will often be this writing to use. The upper number is called numerator, Lower - denominator. If you constantly confuse these names (happens ...), tell me with the phrase expression: " ZZZZapumnney! ZZZZnamer - Vni zZZZy! "You look, everything and zzzzozomnikh.)

Chertochka that is horizontal that inclined means division top number (numerator) to the bottom (denominator). And that's all! Instead of a screw, it is quite possible to put a fission sign - two points.

When the division is possible, it must be done. So, instead of fractions "32/8", it is much more pleasant to write the number "4". Those. 32 Just divide by 8.

32/8 = 32: 8 = 4

I'm not talking about the fraction "4/1". Which is also just "4". And if it is not divided by a lot, we leave, in the form of a fraction. Sometimes there is a reverse operation to do. Make an integer fraction. But about this below.

2. Decimal fractions , eg:

It is in this form that will need to record the answers to the tasks "B".

3. Mixed numbers , eg:

Mixed numbers are practically not used in high school. In order to work with them, they must be translated into ordinary fractions. But it's necessary to be able to do! And then there will be such a number in a task and hang ... in an empty place. But we will remember this procedure! Slightly lower.

The most universal Ordinary fractions. With them and start. By the way, if there are all sorts of logarithms, sinuses and other beaks, it does not change anything. In the sense that all actions with fractional expressions are no different from action with ordinary fractions!

The main property of the fraction.

So let's go! To begin with, I will surprise you. All fraction transformation varieties is provided by one-sole property! It is called the main property of the fraci. Remember: if the numerator and denominator of the fraci multiply (divided) per and the same number, the fraction will not change. Those:

It is clear that you can write further before the formation. Sinuses and logarithms let you do not embarrass, we'll figure it out with them. The main thing is to understand that all these diverse expressions are one and the same fraction . 2/3.

And we need it, all these transformations? And how! Now you will see. To begin with, we will use the main property of the fraction for reducing fractions. It would seem that the thing is elementary. We divide the numerator and denominator for the same number and all things! It is impossible to make a mistake! But ... a person is creative creature. Make a mistake everywhere! Especially if you have to reduce the fraction of type 5/10, but a fractional expression with all sorts of beaks.

As properly and quickly cut the fraction, without making any extra work, you can read in a special section 555.

The normal student is not bothering the division of the numerator and the denominator on the same number (or expression)! He simply jumps all the same on top and bottom! Here and lighten typical error, LAP, if you want.

For example, you need to simplify the expression:

There is nothing to think here, you jump up the letter "A" from above and a twice from below! We get:

That's right. But really you divided all Numerator I. all danger on "A". If you are used to simply cross, then, you need, you can cross "A" in expression

and get again

What will be categorically incorrect. Because here all Numerator on "A" already not divide! It is impossible to cut this fraction. By the way, such a reduction is, GM ... a serious challenge to the teacher. This is not forgiven! Remember? When cutting, we need to share all Numerator I. all denominator!

Reducing fractions greatly facilitates life. It turns out somewhere you have fraction, for example 375/1000. And how now to work with her? Without a calculator? Multiply, say, fold, in a square to erect!? And if you don't be lazy, yes, it is accurate enough to cut five, and even five, and even ... while it is reduced, in short. We get 3/8! Much more pleasant, right?

The main property of the fraction allows us to translate ordinary fractions to decimal and vice versa without calculator! This is important to the exam, right?

How to translate fractions from one species to another.

With decimal fractions, everything is simple. As heard, it is written! Let's say 0.25. This is a zero whole, twenty-five hundredths. Yes, we write: 25/100. We reduce (divide the numerator and denominator on 25), we get the usual fraction: 1/4. Everything. It happens, and nothing is reduced. Type 0.3. These are three tenths, i.e. 3/10.

And if integers - not zero? Nothing wrong. We write down the entire fraction without any commas In the numerator, and in the denominator is what hearse. For example: 3.17. These are three integers, seventeen hundredths. We write in the numerator 317, and in the denominator 100. We get 317/100. Nothing is reduced, it means everything. This is the answer. Elementary Watson! Of all the told useful conclusion: any decimal fraction can be turned into an ordinary .

But the inverse transformation, ordinary to decimal, some without a calculator cannot do. But you must! How do you write to write on the exam!? Carefully read and master this process.

Decimal fraction than characteristic? She has in the denominator always It costs 10, or 100, or 1000, or 10,000 and so on. If your usual fraction has such a denominator, there are no problems. For example, 4/10 \u003d 0.4. Or 7/100 \u003d 0.07. Or 12/10 \u003d 1.2. And if in response to the task section "in" turned out 1/2? What will we write in response? There are decimal required ...

Remember the main property of the fraci ! Mathematics favorably allows you to multiply the numerator and denominator for the same number. For any, by the way! In addition to zero, of course. So applies this property to yourself! What can be multiplied by the denominator, i.e. 2 So that it become 10, or 100, or 1000 (smaller better, of course ...)? 5, obviously. Boldly multiply the denominator (this us it is necessary) by 5. But, then the numerator must be multiplied, too, for 5. This is already mathematics Requires! We obtain 1/2 \u003d 1x5 / 2x5 \u003d 5/10 \u003d 0.5. That's all.

However, the denominators are all sorts. Will come, for example, the fraction 3/16. Try, figure out here, on which 16 multiply, so that 100 it happens, or 1000 ... does not work? Then you can simply separate 3 to 16. Behind the lack of a calculator, you will have to divide the corner, on a piece of paper, as in junior grades. We get 0.1875.

And there are completely bad denominants. For example, a fraction of 1/3, well, do not turn into a good decimal. And on the calculator, and on a piece of paper, we will get 0,3333333 ... This means that 1/3 in an exact decimal fraction does not translate. Just as 1/7, 5/6 and so on. Many of them undeveloped. From here another useful conclusion. Not every ordinary fraction is translated into decimal !

By the way, this is useful information for self-test. In the section "B" in response, you need a decimal fraction to record. And you have it, for example, 4/3. This fraction is not translated into decimal. This means that somewhere you made a mistake on the road! Return, check the solution.

So, with ordinary and decimal fractions figured out. It remains to deal with mixed numbers. To work with them, they must be translated into ordinary fractions. How to do it? You can catch a sixth grader and ask him. But not always the sixth grader will be at hand ... you have to. It's not hard. It is necessary a denominator of a fractional part to multiply by a whole part and add a fractional part numerator. It will be a numerator of the usual fraction. And the denominator? The denominator will remain the same. It sounds difficult, but in fact everything is elementary. We look an example.

Let in a challenge you with horror saw a number:

Calmly, without panic, we think. The whole part is 1. one. Fractional part - 3/7. Therefore, the denominator of the fractional part is 7. This denominator will be a denominator of an ordinary fraction. We consider the numerator. 7 Multiply with 1 (whole part) and add 3 (numerator of the fractional part). We get 10. It will be a numerator of an ordinary fraction. That's all. Even easier, it looks in a mathematical record:

Clear? Then secure success! Translate into ordinary fractions. You should work 10/7, 7/2, 23/10 and 21/4.

Reverse operation - Translation of incorrect fraction in a mixed number - in high schools is rarely required. Well, if so ... and if you are not in high schools - you can look into a special section 555. There, by the way, and about the wrong fraraty will learn.

Well, almost everything. You remembered the types of fractions and understood as Translate them from one species to another. The question remains: what for do it? Where and when to apply these deep knowledge?

I answer. Any example itself suggests the necessary actions. If an example was mixed into a bunch of ordinary fractions, decimal, and even mixed numbers, we translate everything into ordinary fractions. It can always be done. Well, if it is written, something like 0.8 + 0.3, then I believe without any translation. Why do we need extra work? We choose that path the solution that is convenient us !

If the task is complete decimal fractions, but um ... angry some, go to ordinary, try! You look, everything will work. For example, it will be in a square to erect a number 0.125. Not so easy if you did not pay off from the calculator! Not only you need to multiply the column, so think, where to insert comma! In mind it will not be exactly! And if you go to an ordinary fraction?

0.125 \u003d 125/1000. Reducing on 5 (this is for starters). We get 25/200. Once again by 5. We get 5/40. Oh, still cuts! Again on 5! We get 1/8. Easily erected into a square (in the mind!) And we get 1/64. Everything!

Let's summarize this lesson.

1. Fruit is three species. Ordinary, decimal and mixed numbers.

2. Decimal fractions and mixed numbers always You can translate into ordinary fractions. Reverse translation not always available.

3. Selecting the type of fractions to work with the task depends on this very task. In the presence of different species We fractions in one task, the most reliable - go to ordinary fractions.

Now you can take care. To begin with, translate these decimal fractions to ordinary:

3,8; 0,75; 0,15; 1,4; 0,725; 0,012

There must be such answers (in disorder!):

On this and end. In this lesson, we refreed in memory key moments for fractions. It happens, however, it is especially nothing to refreshing ...) If someone who has completely forgotten, or has not mastered ... the one can go into a special section 555. There all the foundations are detailed. Many suddenly understand everything Start. And decide the fraraty with the lea).

If you like this site ...

By the way, I have another couple of interesting sites for you.)

It can be accessed in solving examples and find out your level. Testing with instant check. Learn - with interest!)

You can get acquainted with features and derivatives.

Here, it would seem, the translation of the decimal fraction in the usual is an elementary topic, but many students do not understand it! Therefore, today we will consider in detail several algorithms at once, with the help of which you will figure out with any fractions literally per second.

Let me remind you that there are at least two forms of recording of the same fraction: an ordinary and decimal. Decimal fractions are all sorts of constructions of the form 0.75; 1.33; And even -7.41. But examples of ordinary fractions that express the same numbers:

Now we'll figure it out: how to go to the usual record from decimal? And most importantly: how to make it as fast as possible?

The main algorithm

In fact, there are at least two algorithms. And we will now consider both. Let's start with the first one simple and understandable.

To translate a decimal fraction in an ordinary one, you need to perform three steps:

Important note on negative numbers. If in the original example before the decimal fraction there is a "minus" sign, then at the output before an ordinary shot, too, must be "minus". Here are some more examples:

Examples of transition from decimal records of fractions to normal

I would like to pay special attention to the last example. As we see, in the fraction 0.0025 there is a lot of zeros after the comma. Because of this, you already have to multiply the numerator and the denominator for 10. Is it possible to somehow simplify the algorithm in this case somehow?

Sure you may. And now we will consider an alternative algorithm - it is slightly more complicated for perception, but after a short practice it works much faster than standard.

Faster way

In this algorithm also 3 steps. To obtain a conventional fraction of the decimal, you need to perform the following:

  1. Calculate how many numbers are after the comma. For example, the fraction of 1.75 such numbers are two, and 0.0025 - four. Denote this number of letter $ n $.
  2. Rewrite the starting number in the form of a fraction of the form $ \\ FRAC (A) ((((10) ^ (n))) $, where $ a $ is all the figures of the original fraction (without "starting" zeros on the left, if there is), and $ n $ is the number of numbers after the comma, which we counted in the first step. In other words, it is necessary to divide the numbers of the initial fraction per unit with $ n $ zeros.
  3. If possible, reduce the resulting fraction.

That's all! At first glance, this scheme is more complicated by the previous one. But in fact he is easier, and faster. Judge for yourself:

As we see, in the fraction 0.64 after the comma, there are two digits - 6 and 4. Therefore $ n \u003d $ 2. If you remove the comma and zeros on the left (in this case, only one zero), we obtain the number 64. We turn to the second step: $ ((10) ^ (n)) \u003d ((10) ^ (2)) \u003d $ 100, Therefore, it is worth a hundred in the denominator. Well, then it remains only to cut the numerator and denominator. :)

One more example:

Everything is more complicated here. First, the numbers after the semicolons are already 3 pieces, i.e. $ n \u003d $ 3, so we will have to divide $ ((10) ^ (n)) \u003d ((10) ^ (3)) \u003d $ 1000. Secondly, if we remove the comma from the decimal record, then we will get it: 0.004 → 0004. Recall that zeros should be removed on the left, so we have a number 4. Further, everything is simple: we divide, cut and get the answer.

Finally, the last example:

The feature of this fraction is the presence of a whole part. Therefore, at the exit, we turn out the wrong fraction 47/25. You can, of course, try to divide 47 by 25 with the residue and thus again allocate the whole part. But why complicate your life, if this can be done on the transformation stage? Well, let's understand.

What to do with the whole part

In fact, everything is very simple: if we want to get the right fraction, then it is necessary to remove the whole part of the transformations from it, and then when we get the result, to re-add it to the right before a fractional feature.

For example, consider the same number: 1.88. We take a unit (whole part) and look at the fraction 0.88. It is easily converted:

Then I remember about the "lost" unit and add it from the front:

\\ [\\ FRAC (22) (25) \\ to 1 \\ FRAC (22) (25) \\]

That's all! The answer turned out to be the same as after allocating the whole part last time. More a couple of examples:

\\ [\\ begin (align) & 2.15 \\ to 0.15 \u003d \\ FRAC (15) (100) \u003d \\ FRAC (3) (20) \\ to 2 \\ FRAC (3) (20); \\\\ & 13.8 \\ TO 0.8 \u003d \\ FRAC (8) (10) \u003d \\ FRAC (4) (5) \\ TO 13 \\ FRAC (4) (5). \\\\\\ End (Align) \\]

In this and consists of the charm of mathematics: Whatever you go, if all the calculations are fulfilled correctly, the answer will always be the same. :)

In conclusion, I would like to consider another reception that many helps.

Transformation "For Hearing"

Let's think about what is just a decimal fraction. More precisely, as we read it. For example, the number 0.64 - we read it as "zero as a whole, 64 hundredths", right? Well, or just "64 hundredths". Keyword here - "hundredths", i.e. Number 100.

What about 0.004? This is "zero of whole, 4 thousandths" or simply "four thousandths". One way or another, the keyword is "thousandth", i.e. 1000.

So what's wrong with that? And the fact that it is these numbers in the end "pop up" in denominators at the second stage of the algorithm. Those. 0.004 is a "four thousand" or "4 divided by 1000":

Try to practice yourself - it is very simple. The main thing is to correctly read the original fraction. For example, 2.5 is "2 integers, 5 tenths", therefore

And some 1.125 is "1 whole, 125 thousand", therefore

In the last example, of course, someone will objected, they say, not every student is obvious that 1000 is divided into 125. But here you need to remember that 1000 \u003d 10 3, and 10 \u003d 2 ∙ 5, so

\\ [\\ Begin (Align) & 1000 \u003d 10 \\ CDOT 10 \\ CDOT 10 \u003d 2 \\ CDOT 5 \\ CDOT 2 \\ CDOT 5 \\ CDOT 2 \\ CDOT 5 \u003d \\ CDOT 2 \\ CDOT 2 \\ CDOT 2 \\ CDOT 5 \\ Thus, any degree of dozens is declined only on multipliers 2 and 5 - it is these multipliers that need to be signed in the numerator so that everything is reduced.

On this lesson is over. Go to a more complex reverse operation - see "

The fraction can be transformed into an integer either in a decimal fraction. Incorrect fraction, the numerator of which is more denominator and is divided into it without a residue, is translated into an integer, for example: 20/5. We divide 20 to 5 and get a number 4. If the fraction is correct, that is, the numerator is less than the denominator, then convert it to the number (decimal fraction). More information about the fractions you can learn from our section -.

Methods for converting fractions in number

The first method, how to translate the fraction to a number is suitable for the fraction, which can be converted to a decimal fraction. First, find out whether it is possible to translate the specified fraction in the fraction of the decimal. To do this, pay attention to the denominator (a figure that is under the feature or to the right of inclined). If the denominator can be decomposed on multipliers (in our example - 2 and 5), which can be repeated, then this fraction is actually converted to a finite decimal fraction. For example: 11/40 \u003d 11 / (2 ∙ 2 ∙ 2 ∙ 5). This ordinary fraction will be translated into the number (decimal fraction) with a finite number of semicolons. But the fraction 17/60 \u003d 17 / (5 ∙ 2 ∙ 2 ∙ 3) will be translated into a number with an infinite number of semicolons. That is, with accurate calculation of the numerical value, it is quite difficult to determine the final sign after the comma, since such signs are infinite set. Therefore, to solve problems, it is usually necessary to round the value to hundredths or thousands. Next - you need to multiply and the numerator, and the denominator for such a number so that the numbers 10, 100, 1000 and so ones are in the denominator, for example: 11/40 \u003d (11 ∙ 25) / (40 ∙ 25) \u003d 275/1000 \u003d 0.275

  • The second way to translate fraction to the number is simpler: it is necessary to divide the numerator to the denominator. To use this method, we simply make a division, and the resulting number and will be the desired decimal fraction. For example, we need to translate the fraction 2/15 to the number. We divide 2 to 15. We get 0, 1333 ... - Infinite fraction. Write as follows: 0.13 (3). If the fraction is wrong, that is, the numerator is greater than the denominator (for example, 345/100), then as a result of the conversion of it, a whole numerical value or a decimal fraction with a whole fractional part is obtained. In our example it will be 3.45. To convert a mixed fraction of such a species, as 3 2/7, in the number, then you must first turn it into the wrong fraction: (3 ∙ 7 + 2) / 7 \u003d 23/7. Next, we divide 23 to 7 and we obtain the number 3,285,7143, which is reduced to 3.29.

The easiest way to translate the fraction is to use a calculator or another computing device. We first point the fluster numerator, then press the button with the "Divide" icon and score the denominator. After pressing the "\u003d" key, we get the desired number.

Speaking with a dry mathematical language, the fraction is a number that seems in the form of a part from one. The fraraty is widely used in human life: with the help of fractional numbers, we indicate the proportions in culinary recipes, I exhibit decimal estimates at competitions or use them to count discounts in stores.

Representation of fractions

There is a minimum of two forms of recording one fractional number: in decimal form or in the form of an ordinary fraction. In the decimal form of the number look like 0.5; 0.25 or 1.375. Any of these values \u200b\u200bwe can present in the form of an ordinary fraction:

  • 0,5 = 1/2;
  • 0,25 = 1/4;
  • 1,375 = 11/8.

And if 0.5 and 0.25 we can convert from an ordinary fraction in decimal and back, then in the case of 1,375, everything is not obvious. How to quickly convert any decimal number into a fraction? There are three simple ways.

Get rid of the semicol

The easiest algorithm implies the multiplication of the number 10 until the comma disappears from the numerator. Such a transformation is carried out in three steps:

Step 1: To start a decimal number, we write in the form of a fraction "Number / 1", that is, we get 0.5 / 1; 0.25/1 and 1.375 / 1.

Step 2.: After that, multiply the numerator and the denominator of new fractions until the comma disappears from the numerals:

  • 0,5/1 = 5/10;
  • 0,25/1 = 2,5/10 = 25/100;
  • 1,375/1 = 13,75/10 = 137,5/100 = 1375/1000.

Step 3.: Reduce the resulting fractions to a perceptive type:

  • 5/10 \u003d 1 × 5/2 × 5 \u003d 1/2;
  • 25/100 \u003d 1 × 25/4 × 25 \u003d 1/4;
  • 1375/1000 \u003d 11 × 125/8 × 125 \u003d 11/8.

The number of 1.375 was three times multiplied by 10, which is no longer very convenient, and what will we have to do if you need to convert a number 0.000625? In this situation, we use the following method for converting fractions.

Get rid of the comma even easier

The first method describes in detail the algorithm for "removal" with a decimal fraction, however, we can simplify this process. And again we perform three steps.

Step 1: We consider how many numbers are after the comma. For example, in the number of 1.375 such numbers three, and at 0.000625 - six. This amount we denote the letter n.

Step 2.: Now it is enough for us to imagine the fraction in the form of C / 10 N, where C is the significant figures of the fraction (without zeros if they are), and n is the number of numbers after the comma. For instance:

  • for the number of 1.375 C \u003d 1375, N \u003d 3, the final fraction according to the formula 1375/10 3 \u003d 1375/1000;
  • for a number of 0.000625 C \u003d 625, N \u003d 6, the final fraction according to formula 625/10 6 \u003d 625/1000000.

In fact, 10 n is 1 with a number of zeros, equal to N, so you do not need to bother with the erection of dozens to the degree - it is enough to specify 1 with n zeros. After that, it is desirable to reduce the fraction so rich on zeros.

Step 3.: Reducing zeros and get the final result:

  • 1375/1000 \u003d 11 × 125/8 × 125 \u003d 11/8;
  • 625/1000000 \u003d 1 × 625/1600 × 625 \u003d 1/1600.

The fraction 11/8 is the wrong fraction, since the numerator has more denominator, and therefore we can allocate the whole part. In this situation, we subtract the whole part of 8/8 from 11/8 and we get the residue 3/8, therefore, the fraction looks like 1 and 3/8.

Transformation by ear

For those who can correctly read decimal fractions, the easiest way to convert them to hearing. If you read 0.025 not as "zero, zero, twenty five", but as "25 thousandths", then you will not have any problems with the conversion of decimal numbers into ordinary fractions.

0,025 = 25/1000 = 1/40

Thus, the correct reading of the decimal number allows you to immediately burn it as an ordinary fraction and reduce if necessary.

Examples of using fractions in everyday life

At first glance, ordinary fractions are practically not used in everyday life or at work and it is difficult to imagine the situation when you need to translate the decimal fraction to the usual outside of school tasks. Consider a couple of examples.

Work

So, you are working in a confectionery store and sell Halva for weight. For the simplicity of the sale of the product, you share halva on kilogram briquettes, but few of the buyers are ready to purchase a whole kilogram. Therefore, you have to separate the delicacy on pieces each time. And if the next buyer will ask you 0.4 kg of Halva, you will easily sell it the right portion.

0,4 = 4/10 = 2/5

Life

For example, it is necessary to make a 12% solution for painting the model in the shade you need. To do this, you need to mix the paint and solvent, but how to do it right? 12% is a decimal fraction 0.12. We transform the number in an ordinary fraction and get:

0,12 = 12/100 = 3/25

Knowing fractions, you can mix the components correctly and get the desired color.

Conclusion

The fraction is widely used in everyday life, so if you often need to convert decimal values \u200b\u200bto ordinary fractions, you will use an online calculator, with which you can instantly get the result in the form of an already abbreviated fraction.