Fraction Calculator

Add, subtract, multiply, and divide fractions โ€” with step-by-step work shown.

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Fractions FAQ

How do you add fractions with different denominators?
Find the Least Common Denominator (LCD) โ€” the smallest number both denominators divide into evenly. Convert both fractions to have the LCD, then add the numerators. For example: 1/2 + 1/3 โ†’ LCD is 6 โ†’ 3/6 + 2/6 = 5/6.
How do you multiply fractions?
Simply multiply the numerators together and the denominators together, then simplify. Example: 2/3 ร— 3/4 = (2ร—3)/(3ร—4) = 6/12 = 1/2. No common denominator needed!
How do you divide fractions?
Flip the second fraction (take its reciprocal) and multiply. "Keep, Change, Flip" โ€” keep the first fraction, change division to multiplication, flip the second fraction. Example: 2/3 รท 4/5 = 2/3 ร— 5/4 = 10/12 = 5/6.
How do you simplify a fraction?
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. Example: 12/18 โ†’ GCD(12,18) = 6 โ†’ 12/6 = 2, 18/6 = 3 โ†’ 2/3.