Decimal to Fraction Converter

Convert decimals and percentages to exact fractions.

Fraction

3/8

0.375 in lowest terms

Decimal

0.375

Percentage

37.500000%

Write the decimal over a power of ten, then divide both by their greatest common divisor.

What does Decimal to Fraction Converter do?

Convert a decimal to its exact fraction in lowest terms, including repeating decimals, which are converted exactly rather than approximated. Works in reverse too, and handles percentages.

How to Use Decimal to Fraction Converter

1
Enter a decimalOr a percentage, or a fraction to reverse.
2
Mark repeating digits if anySo the conversion is exact.
3
Read the fractionSimplified, with the mixed number shown.

Key Features

Exact conversion to lowest terms
Repeating decimals converted exactly with the algebraic method
Mixed number form alongside the improper fraction
Percentage input handled directly
Reverse conversion from fraction to decimal
Nearest simple fraction offered for awkward decimals

Frequently Asked Questions

How do I convert a decimal to a fraction?

Write the decimal over a power of ten matching its length, then simplify. 0.75 is 75/100, which reduces to 3/4 by dividing both by their greatest common divisor.

How are repeating decimals converted?

Algebraically. For 0.333…, set x = 0.333…, multiply by 10 to get 10x = 3.333…, subtract to get 9x = 3, so x = 1/3. That gives an exact answer rather than an approximation.

What is 0.375 as a fraction?

3/8. It is 375/1000, and dividing both by 125 gives 3/8.

Can every decimal be written as a fraction?

Every terminating or repeating decimal can. Irrational numbers such as π and √2 never terminate or repeat, so they cannot — only approximated, which is why 22/7 is close to π but not equal to it.

Runs in your browser

All arithmetic runs in your browser, using exact BigInt maths where whole numbers are involved so nothing is lost to floating-point rounding.

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