How to Convert Decimals to Fractions

A decimal is already a fraction with a denominator that's a power of ten — you just have to write it out and simplify.

Step by step

1. 1
   Write the digits over a power of ten
   Count the decimal places. 0.75 has two, so write 75/100.
2. 2
   Simplify
   Divide top and bottom by their greatest common factor: 75/100 = 3/4.
3. 3
   Handle whole parts
   For a decimal like 1.25, convert the 0.25 part and add the whole number, giving 1 1/4 or 5/4.

Worked example

Convert 0.75 to a fraction. There are two decimal places, so write 75/100. The GCF of 75 and 100 is 25, so 75/100 = 3/4.

Common mistakes to avoid

• Using the wrong power of ten for the number of decimal places.
• Forgetting to simplify.
• Trying this method on a repeating decimal, which needs a different (algebraic) approach.

Practice this skill

Try it yourself on the Decimal to Fraction Calculator, generate a printable worksheet, or work through it one step at a time in guided practice.