Fraction Calculator
Add, subtract, multiply, divide, simplify, convert, and compare fractions with step-by-step solutions.
Fraction details
Updates as you typeMode
What do you want to do? ?
First fraction
Whole / numerator / denominator ?
—
Quick:
Operation
Choose an operation ?
Add
Second fraction
Whole / numerator / denominator ?
—
Quick:
Convert
Decimal value ?
—
Quick:
Formula
ADDITION
a
b
+
c
d
=
a×d + c×b
b×d
SUBTRACTION
a
b
−
c
d
=
a×d − c×b
b×d
MULTIPLICATION
a
b
×
c
d
=
a×c
b×d
DIVISION
a
b
÷
c
d
=
a×d
b×c
- a, c
- Numerators — the numbers on top of each fraction
- b, d
- Denominators — the numbers on the bottom (must be non-zero)
- GCF
- Greatest common factor — the largest integer that divides both numerator and denominator; used to simplify the result
- LCD
- Least common denominator — the smallest common multiple of b and d; lets you add or subtract fractions
Mixed numbers (like 2 3/4) are first converted to improper fractions (11/4), the operation is performed, and the result is simplified by dividing both numerator and denominator by their GCF. Negative signs are kept with the numerator.
Common fractions
1/2=0.550%
1/3≈0.33333.3%
2/3≈0.66766.7%
1/4=0.2525%
3/4=0.7575%
1/5=0.220%
1/6≈0.16716.7%
1/8=0.12512.5%
3/8=0.37537.5%
5/8=0.62562.5%
7/8=0.87587.5%
1/10=0.110%