Fraction Calculator

Add, subtract, multiply and divide fractions, with the answer simplified and every step shown.

First	3/4
Operation	+
Second	5/6

First

Operation

Second

Fractions (3/4), mixed numbers (2 1/3), whole numbers or decimals.

3/4 + 5/6 =

19/12

The answer is 19/12, or 1 7/12 as a mixed number, which is 1.58(3) as a decimal.

Exact fraction. Checked exactly.

Method: Lowest common denominator
Worked out with: AllCalcHub exact fractions (whole-number arithmetic, no rounding)
Check: Every step recomputed with exact fractions

Fraction: 19/12
Mixed number: 1 7/12
Decimal: 1.58(3)

The fractions as bars, over a common denominator

3/4 = 9/129/12 = 0.75
5/6 = 10/1210/12 = 0.8333
Answer 19/1219/12 = 1.5833

On a number line

1
Rewrite over the lowest common denominator
3/4 = 9/12, 5/6 = 10/12
2
Add the numerators
9 + 10 = 19, over 12
3
Simplify
19/12

About the Fraction Calculator

To add or subtract fractions, rewrite them over a common denominator (the lowest one is the LCM of the denominators), then add or subtract the numerators. To multiply, multiply tops and bottoms. To divide, flip the second fraction and multiply.

Answers are exact: the calculator works with whole numbers throughout and only shows a decimal at the end, marking repeating digits in brackets: 1/6 = 0.1(6).

The formula

$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$

a/b × c/d: ac / bd
a/b ÷ c/d: ad / bc

Worked example

3/4 + 5/6

LCD = 12
9/12 + 10/12 = 19/12
= 1 7/12

Questions people ask

How do I simplify a fraction?

Divide the top and bottom by their greatest common factor.

What does the bracket in the decimal mean?

Those digits repeat forever: 0.(3) = 0.333…