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Adding Fractions Calculator

Add two fractions or mixed numbers, with the common denominator and the answer simplified and as a mixed number.

Change the values and press Calculate to work out your own figures.

Enter two fractions (a whole-number part is optional).

About first fraction: numeratorThe top number.
About first fraction: denominatorThe bottom number.
About second fraction: numeratorThe top number.
About second fraction: denominatorThe bottom number.
About first fraction: wholeThe whole-number part (leave blank for a plain fraction).
About second fraction: wholeThe whole-number part (leave blank for a plain fraction).
Result
Answer
7/12
Fraction
7/12
Decimal
0.58(3)
Percent
58.(3)%

1/3 + 1/4 = 7/12.

Show the working
  1. Common denominator: 12
  2. 4/12 + 3/12 = 7/12
  3. Simplify: 7/12

How to use it

Enter two fractions (a whole-number part is optional).

Numbers can be whole numbers, decimals (0.75), fractions (3/4), mixed numbers (1 1/2), repeating decimals (0.(3)) and, where a percent is asked for, percentages (75%). Show the working gives each step.

Key facts

a/b + c/d = (ad + bc) ÷ bd

Common denominators

Rewrite both fractions over their least common denominator, add the numerators, then simplify.

Questions

What is 1/3 + 1/4?

7/12.

What is 1 2/3 + 2 3/4?

4 5/12.

Formulas

a/b + c/d = (ad + bc) ÷ bd

Sources

Limitations

  • Numbers have at most 120 digits.

Formula version 0.1.0Reviewed