Fraction Calculator

Find a common denominator (LCD), convert both fractions, then add the numerators. Example: 1/3 + 1/4 → LCD=12 → 4/12 + 3/12 = 7/12. Always simplify by dividing numerator and denominator by their GCD.

Simply multiply numerators together and denominators together. Example: 2/3 × 3/4 = 6/12 = 1/2. Cross-simplification first can make the arithmetic easier.

Multiply the first fraction by the reciprocal (flip) of the second. Example: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9. 'Keep, Change, Flip' is the common mnemonic.

Find the Greatest Common Divisor (GCD) of numerator and denominator, then divide both by it. Example: 12/18 — GCD(12,18)=6 → 12/6 = 2, 18/6 = 3 → simplified to 2/3.

A mixed number combines a whole number and a proper fraction: 2½. To convert: divide numerator by denominator for the whole part; the remainder is the new numerator. Example: 7/3 = 2 remainder 1 = 2 1/3.