# 0.13 as a fraction

Let us know friends, what is 0.13 in the form of a fraction. What is 0.13 as a fraction in the minimum term? What does it mean to convert 0.13 to a fraction? This means you want to convert the decimal number .13 to a fraction with a numerator and a denominator, in other words you want to solve this equation:

0.13~=~\frac{Numerator}{ Denominator}

Here we will not only explain clearly how to get the answer of 0.13 as a fraction, but also prove that our answer is right or wrong.
First, note that multiplying 100 by .13 will get rid of the decimal point. So create a fraction whose numerator is 0.13 times 100 and the denominator is 100 as follows:

\frac{0.13~\times~100}{100}

Multiply the numbers in the numerator together and keep the denominator as it is. Now our fraction looks like this:

\frac{13}{100}

The greatest common factor of 13 and 100 is 1, which means you can divide the numerator and denominator by 1 and keep the same value. It does not matter.

\frac{\frac{13}{1}}{\frac{100}{1}}

When calculating the numerator and denominator in a fraction above, we get .13 as a fraction in its simplest form:

0.13~=~\frac{13}{100}

In a fraction, a numerator above the denominator is the same as the numerator divided by the denominator. If you divide 13 by 100 on the calculator, you will see that the answer is 0.13. Hence, we know that the above answer is correct.

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