Convert Any Decimal to a Fraction

Fast, accurate, and with step-by-step explanations

Popular Decimal to Fraction Conversions

0.5 as a fraction
\( \frac{1}{2} \)
0.25 as a fraction
\( \frac{1}{4} \)
0.75 as a fraction
\( \frac{3}{4} \)
0.33 as a fraction
\( \frac{33}{100} \)
0.333... as a fraction
\( \frac{1}{3} \)
1.5 as a fraction
\( \frac{3}{2} \)
2.3 as a fraction
\( \frac{23}{10} \)
2.25 as a fraction
\( \frac{9}{4} \)
3.14 as a fraction
\( \frac{157}{50} \)
View More Conversions

How to Convert a Decimal to a Fraction

1

Identify the Decimal

First, determine if your decimal is terminating (like 0.25) or repeating (like 0.333...).

2

Set Up the Fraction

Write the decimal as a fraction with the decimal number as the numerator and 1 as the denominator.

\( 2.3 = \frac{2.3}{1} \)
3

Remove the Decimal Point

Multiply both the numerator and denominator by a power of 10 to move the decimal point completely to the right.

\( \frac{2.3}{1} = \frac{2.3 \times 10}{1 \times 10} = \frac{23}{10} \)
4

Simplify the Fraction

Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD to get the simplified fraction.

\( \frac{23}{10} \) is already in its simplest form

Understanding Fractions and Decimals

What is a Fraction?

A fraction represents a part of a whole. It consists of a numerator (the number on top) and a denominator (the number on the bottom).

\( \text{Fraction} = \frac{\text{Numerator}}{\text{Denominator}} \)

For example, in the fraction \( \frac{3}{4} \), 3 is the numerator and 4 is the denominator, meaning 3 parts out of 4 equal parts.

Types of Decimals

Terminating Decimals: These end after a certain number of digits (e.g., 0.25, 2.3).

Repeating Decimals: These have a digit or sequence of digits that repeat indefinitely (e.g., 0.333..., 0.142857142857...).

Every terminating or repeating decimal can be expressed as a fraction.

Fraction Calculator

Perform calculations with fractions quickly and easily

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\( \frac{1}{2} \times \frac{2}{3} \)
\( \frac{1}{3} \)
\( \frac{3}{4} + \frac{1}{6} \)
\( \frac{11}{12} \)
\( \frac{5}{8} - \frac{1}{4} \)
\( \frac{3}{8} \)
\( \frac{2}{3} \div \frac{1}{2} \)
\( \frac{4}{3} \)
More Fraction Calculations