Fraction Calculator
Add, subtract, multiply and divide fractions and mixed numbers, with an exact simplified answer.
Result
13/6
- Mixed number
- 2 1/6
- Decimal
- 2.166666667
Show the work
Write both as plain fractions
a/b and c/d
1 1/2 and 2/3 = 3/2 and 2/3
Add over a common denominator
a/b + c/d = (a × d + c × b) / (b × d)
(3 × 3 + 2 × 2) / (2 × 3) = 13/6
Already in lowest terms: the top and bottom share no factor
gcd(13, 6) = 1
13/6
How it works
a/b + c/d = (ad + bc)/bd · a/b × c/d = ac/bd · a/b ÷ c/d = ad/bc, then divide by the greatest common divisor
Questions
- How does the fraction calculator work?
- a/b + c/d = (ad + bc)/bd · a/b × c/d = ac/bd · a/b ÷ c/d = ad/bc, then divide by the greatest common divisor.
- What do I need to enter?
- First fraction, Operation, Second fraction. Optional fields can be left blank.
Related tools
- Ratio CalculatorSolve A : B = C : D for the missing value and simplify a ratio.
- Mean, Median & Mode CalculatorGet the mean, median, mode, range and more for a list of numbers.
- Standard Deviation CalculatorCalculate the standard deviation and variance of a data set, as a sample or a whole population.
- Scientific Notation ConverterWrite a number in scientific, E and engineering notation, or turn scientific notation back into a plain number.
- Rounding CalculatorRound a number to any number of decimal places (or tens, hundreds) using the rounding rule you need.
- Significant Figures CalculatorCount the significant figures in a number and round it to a chosen number of significant figures.
Want this on your site? Embed the fraction calculator.