Fraction Calculator
Enter two fractions or mixed numbers. Get the exact answer in lowest terms.
How it works
Type fractions as 3/4 and mixed numbers as 1 1/2. Answers stay exact, so 1/3 stays 1/3, and you also get the mixed number and the decimal.
Example
Work out 3/4 + 5/6.
19/12
- Mixed number
- 1 7/12
- Decimal
- 1.583333
Steps
- Common denominator: the least common multiple of 4 and 6 is 12.
- Rewrite: 3/4 = 9/12 and 5/6 = 10/12.
- Add the tops: 9 + 10 = 19, over 12.
- In lowest terms: 19/12.
More examples
Work out 2 1/2 × 3/5.
3/2
- Mixed number
- 1 1/2
- Decimal
- 1.5
Steps
- Multiply tops and bottoms: (5 × 3) / (2 × 5) = 15/10.
- In lowest terms: 3/2.
Work out 7/8 ÷ 1/4.
7/2
- Mixed number
- 3 1/2
- Decimal
- 3.5
Steps
- Dividing by 1/4 is multiplying by its reciprocal, 4.
- Multiply: (7 × 4) / (8 × 1) = 7/2.
- In lowest terms: 7/2.
Common mistake
Adding needs a common denominator. 1/2 + 1/3 is 5/6, while adding across gives 2/5, which is smaller than 1/2.
Questions
How do I divide fractions?
Flip the second fraction and multiply: 7/8 ÷ 1/4 = 7/8 × 4/1 = 7/2.
How do I turn a mixed number into a fraction?
Multiply the whole number by the bottom and add the top: 2 1/2 = (2 × 2 + 1)/2 = 5/2.
How do I simplify a fraction?
Divide the top and bottom by their greatest common factor: 18/24 = 3/4, dividing both by 6.