How to convert a decimal fraction to ordinary?

Marina Nazarenko
Marina Nazarenko
February 14, 2013
How to convert a decimal fraction to ordinary?

The decimal fraction consists of two parts, which are separated by commas. The first part is the whole unit, the second part is tens (if the number after the comma is one), hundreds (two numbers after the comma, like two zeros in a hundred), thousandths and so on. Let's look at decimal examples: 0, 2; 7, 54; 235.448; 5.1; 6.32; 0.5 All this - decimal fractions. How to convert the decimal fraction to ordinary?

Example one

We have a fraction, for example, 0.5. As already stated above, it consists of two parts. The first number, 0, indicates how many whole units a fraction has. In our case, they are not. The second number shows dozens. Fraction even read zero point five.Decimal numberconvert to fractionnow not difficult, we write 5/10. If you see that the numbers have a common factor, you can reduce the fraction. We have this number 5, dividing both parts of the fraction by 5, we get - 1/2.

Example two

Take a more difficult fraction - 2.25. It reads like this - two point and twenty five hundredths. Note - hundredths, since there are two decimal points.Now you can translate into ordinary fraction. We write down - 2 25/100. The whole part is 2, fractional 25/100. As in the first example, this part can be reduced. The common factor for the numbers 25 and 100 is the number 25. Note that we always select the greatest common factor. Dividing both parts of the fraction on the GCD, got 1/4. So, 2, 25 is 2 1/4.

Example three

And to consolidate the material we take the decimal fraction 4,112 - four whole and one hundred and twelve thousandths. Why thousandths, I think, clearly. We write down now 4 112/1000. According to the algorithm, we find the GCD of the numbers 112 and 1000. In our case, this is the number 6. We get 4 14/125.


  1. We divide the fraction into integer and fractional parts.
  2. We look, how many digits after a comma. If one - it's dozens, two - hundreds, three thousand, and so on.
  3. Write the fraction in the ordinary form.
  4. Reduce the numerator and denominator of the fraction.
  5. Write the resulting fraction.
  6. Perform a test, divide the upper part of the fraction to the bottom. If there is an integer part, add to the received decimal fraction. It turned out the original version - great, so you did everything right.

Using examples, I showed how you can convert a decimal fraction into an ordinary fraction. As you can see, it is very easy and simple to do.

Date: 09.10.2018, 10:19 / Views: 63194

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