How to Convert Fractions to Decimals

Every fraction is a division problem in disguise. To turn a fraction into a decimal, divide the numerator by the denominator.

Step by step

1. 1
   Set up the division
   The fraction 3/8 means 3 ÷ 8.
2. 2
   Divide
   Carry out the division: 3 ÷ 8 = 0.375.
3. 3
   Note repeating decimals
   Some fractions, like 1/3, give a repeating decimal (0.333...). Mark the repeating part.

Worked example

Convert 3/8 to a decimal. Divide 3 by 8: 3 ÷ 8 = 0.375. So 3/8 = 0.375.

Common mistakes to avoid

• Dividing the denominator by the numerator instead of the other way around.
• Rounding a repeating decimal without noting that it repeats.
• Misplacing the decimal point.

Practice this skill

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