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 (there are 2 digits after the decimal point so that is 10×10=100):
× 100
0.751=75100
× 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
75100=1520=34
÷5 ÷ 5
Answer = 34
Note: 75/100 is called a decimal fraction and 3/4 is called a common fraction !
Example: Convert 0.625 to a fraction
Step 1: write down:
0.6251
Step 2: multiply both top and bottom by 1,000 (there are 3 digits after the decimal point so that is 10×10×10=1,000)
6251000
Step 3: Simplify the fraction (it took me two steps here):
÷ 25 ÷ 5
6251000=2540=58
÷ 25 ÷ 5
Answer = 58
When there is a whole number part, put it aside and bring it back at the end:
Example: Convert 2.35 to a fraction
Put the 2 aside and just work on 0.35
Step 1: write down:
0.351
Step 2: multiply both top and bottom by 100 (there are 2 digits after the decimal point so that is 10×10=100)
35100
Step 3: Simplify the fraction:
÷ 5
35100=720
÷ 5
Bring back the 2 (makes a mixed fraction):
Answer = 2720
