Fraction to Decimal Calculator

Decimal, percentage, and whether it terminates.

Decimal, percentage, and whether it terminates. A fraction as a decimal and a percentage, simplified to lowest terms along the way.

Written and maintained by Mohit PatelLast checked August 4, 2026How we build these

Numerator

Denominator

As a decimal

0.375

3/8 simplified

Simplified fraction3/8

Mixed number3/8

Decimal0.375

Percentage37.5000%

Decimal terminatesYes

This decimal terminates because the reduced denominator 8 has no prime factors besides 2 and 5. Any such fraction can be written exactly in decimal; the rest cannot.

How the Fraction to Decimal Calculator works

A fraction as a decimal and a percentage, simplified to lowest terms along the way. The page also says whether the decimal terminates — which it does exactly when the reduced denominator has no prime factors besides 2 and 5.

Also known as: convert fraction to decimal · fraction as a decimal · simplify a fraction calculator · fraction to percent calculator

Where to go next

The Fraction to Decimal question rarely arrives on its own. These are the ones that usually come with it:

Decimal to Fraction Calculator — Exact fractions, recovered by continued fractions.
Mixed Number Calculator — Mixed numbers to improper fractions and back.
GCF Calculator — Greatest common factor, with every common factor listed.
Percentage Calculator — Every common percentage question in one place.

Sources

NIST Digital Library of Mathematical Functions

Frequently asked questions

How do I convert a fraction to a decimal?

Divide the numerator by the denominator. 3/8 is 0.375.

Which fractions give recurring decimals?

Those whose reduced denominator has a prime factor other than 2 and 5. A seventh recurs forever; an eighth does not.

How do I simplify a fraction?

Divide both parts by their greatest common factor. 48/18 has a GCF of 6, giving 8/3.

What if the denominator is negative?

The sign moves to the numerator, since 5/−10 and −5/10 are the same number. This page normalises it that way.

Put this calculator on your own site

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The one-line version

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