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Fraction calculator
Add, subtract, multiply and divide fractions, simplified.
Quick answer
Enter two fractions and choose an operation. 1/2 + 1/3 = 5/6, which is 0.8333 as a decimal.
Answer
5/6
- Mixed number
- 5/6
- Decimal
- 0.833333
How it works
To add or subtract fractions, give them the same denominator first; the calculator does this by cross-multiplying.
To multiply, multiply the tops and the bottoms. To divide, flip the second fraction and multiply.
The answer is always reduced to lowest terms and also shown as a mixed number.
The formula
- a/b + c/d = (ad + bc) รท bd, a/b โ c/d = (ad โ bc) รท bd
- a/b ร c/d = ac รท bd, a/b รท c/d = ad รท bc
- Then divide top and bottom by their greatest common divisor
A worked example
1/2 + 1/3 = (1 ร 3 + 1 ร 2) รท (2 ร 3) = 5/6. The decimal is 0.833333.
Common questions
How do I add fractions with different denominators?
Rewrite them over a common denominator, add the numerators, then simplify. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How do I simplify a fraction?
Divide the numerator and denominator by their greatest common divisor. 6/8 becomes 3/4.
How do I divide by a fraction?
Multiply by its reciprocal. 1/2 รท 1/4 = 1/2 ร 4/1 = 2.
What is a mixed number?
A whole number with a fraction, such as 1 1/2, which equals 3/2.