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How to Convert Fractions to Decimals

In real number, there are infinite numbers that can be written in both fractions and decimals. Knowing how to convert the numbers, can help you to make the simplification simpler. In fraction, the rules for doing certain operations is very different from that of decimals. To an extend decimal calculation is an extension of the methods used in whole number calculation. Fraction are sometimes difficult to calculate as they involve denominator terms, so converting the fractional forms to decimal is very important. Many  methods can be used to convert any fraction to decimal, by which computation of operations with real numbers becomes much simple.

How to Convert Fractions to Decimals

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There are many methods that can be used to convert fractions to decimals. Lets check some of them.
  1. Denominator contains $10$, $100$,..........
    In this method, if any of the fractions contains the number like 10, 100... etc in the denominator, then just count the number of zeros and move the decimal point in the numerator to the right side.

    For example $ \frac{2}{10 }$ = 0.2

  2. Change to equivalent fractions with denominator 10, 100….
    In this method, the denominator may not contain 10, 100 etc but we can convert them into equivalent fractions in which the denominators contains 10, 100 etc.

    For example $ \frac{5}{25 }$

    Here denominator = $25$

    If we multiply $4$ we get $25*4 = 100$

    So multiply $4$ on top and bottom of $ \frac{5}{25}$

    Hence $\frac{5}{25}$*$\frac{4}{4}$= $ \frac{20}{100}$

    Now it can be converted to decimal as
    So $ \frac{5}{25}$ = $0.2$

  3. Divide numerator by denominator

    There are certain fractions that cannot be changed to an equivalent fractions. In such situation we divide numerator by the denominator.

    For example $ \frac{4}{8}$

    Divide $4$  by $8$.

    Here numerator = $4$ is less than the denominator = $8$

    So we take a decimal point to the quotient and change 4 to 40.

    Here numerator = $40$ is greater than the denominator = $8$

    Taking the multiples of 8, we get $8*5=40$

    So answer to $ \frac{4}{8}$ = $0.5$

Change Fractions to Decimals

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Divide the numerator by the denominator is the common method to change fractions to decimals. Conversion becomes very easy, when we are dealing with fraction whose denominator contains 10, 100 or 1000 etc. Converting the fraction to an equivalent fraction in which the denominator is tenths, hundredths or thousandths, then by transforming the fraction to the decimal form.

Solved Examples

Question 1: Convert $\frac{8}{100}$ to decimal.
Solution:
Given $\frac{8}{100}$

numerator = 8 and denominator = 100

Here denominator contains hundredths place

So $\frac{8}{100}$ = 0.08.

 

Question 2: Convert $\frac{2}{7}$ to decimal.

Solution:
Given $\frac{2}{7}$

$\frac{2}{7}$  = 2 ÷ 7

= 0.29