Fraction Calculator
Enter two fractions and an operation. Addition and subtraction go over a common denominator, multiplication runs straight across, and division multiplies by the reciprocal. The answer is then reduced to lowest terms using the greatest common divisor of the top and bottom.
- Accurate
- Real-time
- Easy to use
- 100% free
Simplified fraction
5/6
Mixed number
5/6
Details
Updates as you typeThe top number of the first fraction.
The bottom number of the first fraction. Cannot be zero.
The top number of the second fraction.
The bottom number of the second fraction. Cannot be zero.
Summary
Simplified fraction
5/6
- Decimal value
- 0.833333
- Mixed number
- 5/6
- Before simplifying
- 50/60
- Divided top and bottom by
- 10
- Addition and subtraction use the product of the two denominators as a common denominator, then the answer is reduced with the Euclidean algorithm, so the result is always in lowest terms.
- A negative sign is carried on the numerator, so -1/2 and 1/-2 give the same answer.
How this is calculated
- First fraction
- 10/20
- Operation
- +
- Second fraction
- 1/3
- Combined result
- 50/60
- Greatest common divisor
- 10
- Simplified
- 5/6
Compare scenarios
See how one change moves the result
- CurrentYour inputs as they stand5/6Current
- First numerator1359/60
- First denominator2511/15
- Second numerator27/6
Frequently asked questions
How do you add two fractions with different denominators?
Rewrite both fractions over a shared denominator, add the numerators, and simplify. Multiplying the two denominators always gives a workable common denominator, and reducing at the end removes any extra factor it introduced.
How do you divide one fraction by another?
Flip the second fraction and multiply. Dividing by 2/3 is the same as multiplying by 3/2, which is why the second fraction cannot be zero: its numerator would end up in the denominator of the answer.
What does simplifying a fraction actually do?
It divides the numerator and denominator by their greatest common divisor, found here with the Euclidean algorithm. The value is unchanged, so 10/20 and 1/2 are the same number written with different sized pieces.
Why can a denominator never be zero?
A fraction means division, and dividing by zero has no defined answer: no number multiplied by zero returns the numerator. The calculator rejects a zero denominator rather than showing an infinite or undefined result.
How do I turn an improper fraction into a mixed number?
Divide the numerator by the denominator. The whole-number part of that division becomes the leading number and the remainder stays over the original denominator, so 7/3 becomes 2 and 1/3.