➗ Fraction Calculator

Adding, subtracting, multiplying or dividing fractions requires a common denominator or cross-multiplication. Enter both fractions and pick an operation for an instant, simplified answer.

Numerator 1

Denominator 1

Operation

Numerator 2

Denominator 2

Result 5/6

As a decimal 0,8333

Operation: 1/2 + 1/3 = 5/6

Simplified: ggd(5, 6) = 5/6

Formula

Add/subtract: (a×d ± c×b) / (b×d) — Multiply: (a×c) / (b×d) — Divide: (a×d) / (b×c)

For addition and subtraction you first find a common denominator (b×d) and adjust the numerators accordingly. For multiplication you multiply numerator by numerator and denominator by denominator. For division you multiply by the reciprocal. The result is then simplified by dividing by the greatest common divisor (GCD) of the numerator and denominator.

commonMistakes

When adding or subtracting, adding the numerators directly without first finding a common denominator.
When dividing, forgetting to flip (take the reciprocal of) the second fraction before multiplying.

useCases

Adjusting recipes that use fractional measurements, like 3/4 cup.
Checking homework involving fractions.
Adding measurements for DIY projects, like board thicknesses in inches.