In order to convert decimal into fraction; follow the following steps:
Step 1: Numerator of fraction is equal to decimal (without the decimal point)
Step 2: Find number of Decimal Place in the given decimal
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal place.
Example: Convert decimal 4.2 into fraction.
Solution: Follow the steps as explained above:
Step 1: Numerator of fraction is equal to decimal (without the decimal point) and we get: Numerator = 42
Step 2 : Find number of Decimal Place in the given decimal and we get:
Decimals Places = one only
Step 3: Denominator of fraction is equal to 1 followed by as many number of zero as there are decimal places.
As calculated in step 2, there is only one decimal place, so we will write one zero next to digit 1 and we get:
Denominator = 10
Now, we know that:
Fraction =
Numerator Denominator
Put the values of numerator and denominator from step 1 & Step 3 and we get:
Fraction =
42 10
Hence, decimal 4.2 is equal to Fraction
42 10
Copyright@2026 Algebraden.com (Learn Math, Algebra & Geometry) Study online step-by-step, tutorials, online solved worksheets and calculators for school and home education