Calculators

Decimal to Fraction Calculator

Convert a decimal to a fraction in simplest form, with the mixed number and the steps.

Decimal to Fraction Calculator

0.75 = 3/4 0.75 = 75/100, which simplifies to 3/4.

What This Decimal to Fraction Calculator Does

A decimal is already a fraction in disguise - you just read the place value. 0.75 is “75 hundredths,” which is 75/100, and that simplifies to 3/4. The number of decimal places tells you the denominator: tenths, then hundredths, then thousandths, and so on.

So the recipe is: put the digits over the right power of 10, then simplify. Type a decimal and the tool does both, and shows a mixed number when the decimal is bigger than 1.

How to Convert a Decimal to a Fraction

  1. Write the decimal over a power of 10 (one zero per decimal place).
  2. Simplify by dividing the top and bottom by their greatest common divisor.

For example, 0.75=751000.75 = \frac{75}{100}, and dividing both by 25 gives 34\frac{3}{4}.

How to Use It

  1. Enter a decimal (for example, 0.75 or 1.25).
  2. Read the simplified fraction, plus the mixed number when the value is above 1.

Worked Examples

DecimalOver a power of 10Simplest form
0.55/101/2
0.7575/1003/4
0.22/101/5
0.125125/10001/8
1.25125/1005/4 = 1 1/4

FAQ

How do you convert a decimal to a fraction?

Write the decimal over a power of 10 (one zero per decimal place), then simplify. For 0.75: 75100\frac{75}{100}, which reduces to 34\frac{3}{4}.

How are repeating decimals handled?

This tool converts the exact digits you type, so a typed 0.3330.333 becomes 3331000\frac{333}{1000}, not 13\frac{1}{3}. For a true repeating decimal, round to the fraction you intend.

What is 0.5 as a fraction?

0.5=120.5 = \frac{1}{2}.

Can it give a mixed number?

Yes. Decimals above 1, like 1.25, are shown both as an improper fraction (54\frac{5}{4}) and a mixed number (1141\tfrac{1}{4}).