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SAI INTERNATIONAL SCHOOL

Subject – Mathematics

Chapter 6 – DECIMALS

Sub-topic 2 : CONVERSION OF FRACTION TO DECIMAL AND VICE-VERSA

To convert a Decimal to a Fraction follow these steps:

 Step 1: Write down the decimal divided by 1, like this: decimal / 1
 Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For
example, if there are two numbers after the decimal point, then use 100, if there are three then
use 1000, etc.)
 Step 3: Simplify (or reduce) the fraction

Example: Convert 0.75 to a fraction

Step 1: Write down 0.75 divided by 1:

0.751

Step 2: Multiply both top and bottom by 100 (because there are 2 digits after the decimal point so that
is 10×10=100):

× 100

0.75 / 1 = 75 / 100

× 100

(Do you see how it turns the top number
into a whole number?)

Step 3: Simplify the fraction (this took me two steps):

÷5 ÷ 5

75 / 100 = 15 / 20 = 3 / 4