Fraction calculator

Add, subtract, multiply and divide.

Operation

3/4 + 5/3 =

29/12

Mixed number: 2 5/12

Simplified
29/12
Mixed number
2 5/12
Decimal
2.4166666667
Percentage
241.666667%

Steps

StepWorking
Find a common denominatorThe least common multiple of 4 and 3 is 12
Rewrite both fractions3/4 = 9/12 and 5/3 = 20/12
Add the numerators9 + 20 = 29, so 29/12
Simplify29/12 is already in lowest terms
As a mixed number29/12 = 2 5/12

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How to calculate with fractions

  1. Type the First fraction: a fraction like 3/4, a mixed number like 1 2/3 (whole number, space, fraction) or a decimal.
  2. Pick the Operation and type the Second fraction.
  3. Read the answer in lowest terms, with the mixed number, decimal and percentage below it. The steps underneath show the working: the common denominator, the sum or product, and how it was simplified.

Rules for each operation

Operation Method Example
Add Common denominator, add the tops 1/3 + 1/6 = 2/6 + 1/6 = 1/2
Subtract Common denominator, subtract the tops 5/6 − 1/4 = 10/12 − 3/12 = 7/12
Multiply Tops times tops, bottoms times bottoms 2/3 × 9/10 = 18/30 = 3/5
Divide Flip the second fraction, then multiply 3/4 ÷ 1/2 = 3/4 × 2 = 3/2

With mixed numbers, turn them into improper fractions first: multiply the whole number by the denominator and add the top, so 1 2/3 becomes (1 × 3 + 2)/3 = 5/3. The calculator does this for you and shows the converted fractions in the result heading.

Reading the answer

The answer is always in lowest terms: the top and bottom are divided by their greatest common factor, so 18/30 becomes 3/5. An improper fraction such as 29/12 is also shown as a mixed number, 2 5/12, which is easier to picture when measuring or cooking.

The decimal is rounded to 10 places, so 29/12 shows as 2.4166666667. The percentage is handy for comparisons: 7/12 is about 58.33%, which tells you at a glance that it’s a bit more than half.