Converters

Decimal to Fraction

A decimal to fraction converter turns a terminating or repeating decimal into an exact simplified fraction. Enter the decimal to get the reduced fraction with the working shown.

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The place-value method

Every terminating decimal is a fraction in disguise: the number of decimal places tells you the denominator — one zero per place. Reducing that fraction gives the simplest exact form.

Repeating decimals

For repeating decimals, algebra pins down the repeating block and produces an exact fraction. The converter detects the repeat pattern and applies the standard technique when needed.

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Frequently asked questions

1

How do I convert a decimal to a fraction?

Write the decimal as a fraction over its place value (tenths over 10, hundredths over 100, and so on), then simplify by dividing top and bottom by their greatest common divisor.

2

What is 0.75 as a fraction?

0.75 = 75/100, which simplifies to 3/4. The converter writes the fraction over the matching power of ten and reduces it for you.

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