Fraction Calculator

Find the LCD (Least Common Denominator), convert both fractions to use it, then add the numerators. Example: 1/2 + 1/3. LCD is 6. Convert: 3/6 + 2/6 = 5/6. Steps: multiply 1×3 and 2×3 to get 3/6, multiply 1×2 and 3×2 to get 2/6, then add: (3+2)/6 = 5/6.

Multiply the numerators together and the denominators together, then simplify. Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. You can also cross-simplify before multiplying — divide 2 and 4 by 2 (getting 1 and 2), divide 3 and 3 by 3 (getting 1 and 1), leaving 1/1 × 1/2 = 1/2.

Keep-Change-Flip (KCF): keep the first fraction, change division to multiplication, flip (invert) the second fraction. Example: 5/6 ÷ 2/3 = 5/6 × 3/2 = 15/12 = 5/4 = 1¼. The rule works because dividing by a fraction is the same as multiplying by its reciprocal.

Find the GCF (Greatest Common Factor) of the numerator and denominator, then divide both by it. Example: 12/18. GCF of 12 and 18 is 6. 12÷6 = 2, 18÷6 = 3. Simplified: 2/3. A fraction is fully simplified when the only common factor of numerator and denominator is 1.

Multiply the whole number by the denominator, add the numerator, keep the same denominator. Example: 2¾ = (2×4 + 3)/4 = 11/4. To reverse it (improper to mixed): divide numerator by denominator. The quotient is the whole number, the remainder is the new numerator. 11÷4 = 2 remainder 3 = 2¾.