Arithmetic & Basics
Basic

Fraction to Decimal

Convert a fraction into a decimal by dividing.

Formula

ab=a÷b\frac{a}{b} = a \div b

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Variables

aNumerator
bDenominator

Example

3/4 = 0.75

How it works

A fraction  means "a divided by b," so turning it into a decimal is the same as carrying out that division. This works because fractions and decimals are both ways to show the same part of a whole; the decimal form just uses place value instead of a numerator-over-denominator layout. For example, if you split 1 whole into 2 equal parts, each part is 0.5 because 1 f7 2 = 0.5.

When to use it

Use this when you need to compare fractions with decimals, measure quantities, or enter a fraction into a calculator that only accepts decimal numbers. It is also helpful in real-life tasks like money, measurement, and data tables.

Worked example, step by step

Convert 5/8 to a decimal 5 f7 8 = 0.625 So, 5/8 = 0.625

Common mistakes to avoid

  • Dividing the denominator by the numerator instead of the numerator by the denominator
  • Forgetting to place the decimal point correctly when doing long division
  • Thinking every fraction gives a terminating decimal, when some become repeating decimals

Did You Know?

Every fraction gives either a terminating or an eventually repeating decimal — 1/7 famously cycles through 142857 forever.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026