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Add, subtract, multiply, and divide fractions with step-by-step solutions. Simplify fractions and convert decimals to fractions instantly.
A fraction represents a part of a whole, written as a numerator over a denominator (a/b). Fraction arithmetic involves operations like addition, subtraction, multiplication, and division using common denominators and cross-multiplication.
Add, subtract, multiply, or divide two fractions.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.33% |
| 1/4 | 0.25 | 25% |
| 1/5 | 0.2 | 20% |
| 1/6 | 0.1667 | 16.67% |
| 1/8 | 0.125 | 12.5% |
| 2/3 | 0.667 | 66.67% |
| 3/4 | 0.75 | 75% |
Formula
a/b + c/d = (a×d + c×b) / (b×d)a, c = numerators of the two fractions
b, d = denominators of the two fractions
Worked Example
Add 1/2 + 1/3
Did you know? Ancient Egyptians only used unit fractions (fractions with numerator 1), expressing all other fractions as sums of distinct unit fractions — e.g., 2/3 = 1/2 + 1/6 (source: Rhind Mathematical Papyrus, c. 1650 BCE).
Sources
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