Decimal to Fraction Calculator

Convert any decimal, including repeating decimals, to an exact fraction in lowest terms.

Decimal	0.375

Decimal

For repeating decimals put the repeating digits in brackets: 0.(3) = 0.333…

0.375 =

3/8

0.375 as a fraction is 3/8.

Exact fraction. Checked exactly.

Method: Digits over a power of ten, then simplify
Worked out with: AllCalcHub exact fractions (whole-number arithmetic, no rounding)
Check: Every step recomputed with exact fractions

Mixed number: 3/8

As a fraction bar

3/83/8 = 0.375

The decimal and the fraction are the same point

1
Write it over 10^3
375/1000
2
Simplify by the GCF
3/8

About the Decimal to Fraction Calculator

Type a decimal, putting any repeating digits in brackets, such as 0.1(6). The calculator gives the exact fraction in lowest terms and as a mixed number, with the steps.

A terminating decimal is a fraction over a power of ten: 0.375 = 375/1000 = 3/8.

A repeating decimal is also a fraction. Write the repeating digits in brackets (0.1(6) means 0.1666…) and the calculator solves it exactly: 0.1(6) = 1/6.

The formula

0.(d₁…dₖ) = d₁…dₖ / (10ᵏ − 1)

0.(3): 3/9 = 1/3
0.(142857): 142857/999999 = 1/7

Worked example

0.375

= 375/1000
GCF = 125
= 3/8

Questions people ask

Is 0.999… equal to 1?

Yes. 0.(9) = 9/9 = 1 exactly.

Can every decimal be a fraction?

Every terminating or repeating decimal can. Irrational numbers like π can't.