Fraction Simplifier
Reduce fractions and perform fraction arithmetic
Simplified
—

What is fraction simplification?

A fraction represents a part of a whole. Simplifying means reducing it to lowest terms by dividing both numerator and denominator by their GCD. This calculator also adds, subtracts, multiplies, and divides fractions.

Formula used

Simplify: divide top and bottom by GCD 12/16 → GCD(12,16)=4 → 3/4 Add: find LCM of denominators, convert, add numerators 1/3 + 1/4 = 4/12 + 3/12 = 7/12 Multiply: multiply across 2/3 × 3/4 = 6/12 = 1/2 Divide: multiply by the reciprocal 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9

How to use this calculator

  1. Simplify: enter numerator and denominator
  2. Add/Subtract: enter two fractions and operation
  3. Multiply/Divide: enter two fractions and operation
  4. Results show both the answer and step-by-step working

Example

Example 1 — Simplify 48/64:
GCD(48,64) = 16 → 48÷16 / 64÷16 = 3/4

Example 2 — Add 1/6 + 1/4:
LCM(6,4) = 12 → 2/12 + 3/12 = 5/12

Example 3 — Multiply 3/5 × 2/7:
= 6/35 (already simplified) → 6/35

Example 4 — Divide 4/5 ÷ 2/3:
= 4/5 × 3/2 = 12/10 = 6/5 (or 1⅕)

Frequently asked questions

Numerator larger than denominator (e.g. 7/4). Convert to mixed number: 7/4 = 1¾.
Find the LCM of the denominators, convert both fractions to that denominator, then add numerators. This calculator does it automatically.
Simplified fractions are cleaner and reduce errors. 3/4 is clearer than 75/100, though both equal the same value.