Fraction to Decimal Converter
Convert fractions, improper fractions, mixed numbers, decimals and percentages. Simplify fractions, detect recurring decimals, compare fractions and see clear worked steps.
¾
= 0.75
Converter
Quick examples
Worked steps
Equivalent forms
Common fraction conversions
| Fraction | Decimal | Percentage |
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How it works
A fraction means division. To convert a fraction into a decimal, divide the numerator by the denominator.
decimal = numerator ÷ denominator
Mixed numbers are first changed into improper fractions. For example, 2 3/4 becomes 11/4, then 11 ÷ 4 = 2.75.
Some decimals terminate, such as 1/4 = 0.25. Others recur forever, such as 1/3 = 0.333…
Common questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.
How do you convert a decimal to a fraction?
Put the decimal over a power of 10 and simplify. For example, 0.125 = 125/1000 = 1/8.
Why do some decimals repeat?
They repeat when division leaves a remainder pattern that cycles, such as 1/3 = 0.333…