Free Online Calculator

Fraction Calculator

Do arithmetic with fractions and mixed numbers, with steps.

Last updated: Free, no sign-up Private — runs in your browser

Quick answer: adding fractions

Use a common denominator, add the numerators, then simplify. 1½ + ¾ = 9/4 = 2¼.

Overview of the Fraction Calculator

This calculator adds, subtracts, multiplies and divides fractions and mixed numbers, always reducing the answer to lowest terms and showing it as a fraction, mixed number, decimal and percentage with the steps listed. A second tool simplifies any fraction and converts decimals such as 0.375 to fractions.

Denominators are matched with the LCM and answers reduced with the GCF — see the LCM Calculator and GCF Calculator. For ratios use the Ratio Calculator and for percentages the Percentage Calculator.

How We Calculate

The calculator applies the standard method step by step.

  1. Convert mixed numbers to improper fractions.
  2. Add/subtract: find a common denominator (the LCM), rewrite both fractions and combine the numerators.
  3. Multiply: multiply the numerators and the denominators.
  4. Divide: multiply by the reciprocal of the second fraction.
  5. Simplify by dividing top and bottom by their GCF; convert back to a mixed number if you like.
a/b + c/d = (ad + bc) ÷ bd   a/b × c/d = ac ÷ bd   a/b ÷ c/d = ad ÷ bc
Worked example — fraction calculator
ItemValue
Simplified fraction9/4
Mixed number2 1/4
Decimal2.25
Percent225%
Steps
StepWorking
Common denominatorLCM(2, 4) = 4
Rewrite the fractions6/4 + 3/4
Combine the numerators9/4
Simplify9/4 → 9/4 (already simplest)
Fraction operations
OperationAnswer
1/2 + 1/35/6
1/2 − 1/31/6
1/2 × 1/31/6
1/2 ÷ 1/33/2
1½ + ¾9/4

Fraction Calculator — Frequently Asked Questions

How do I add fractions with different denominators?

Find a common denominator, convert both fractions, add the numerators and simplify. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

How do I multiply fractions?

Multiply the numerators together and the denominators together, then simplify.

How do I divide fractions?

Flip the second fraction (take its reciprocal) and multiply.

How do I simplify a fraction?

Divide the numerator and denominator by their greatest common factor. 18/24 ÷ 6 = 3/4.

How do I convert a decimal to a fraction?

Write the digits over a power of ten and simplify: 0.375 = 375/1000 = 3/8.

What is a mixed number?

A whole number plus a fraction, like 2¼, which equals the improper fraction 9/4.

How is the fraction calculator calculated?

It uses the standard method: a/b + c/d = (ad + bc) ÷ bd   a/b × c/d = ac ÷ bd   a/b ÷ c/d = ad ÷ bc The full working and a worked example are shown on this page.

How accurate is this calculator?

Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.

Can I use it for homework or exams?

Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.

Is my data stored?

No. Everything is calculated in your browser and nothing you enter is uploaded or saved.

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