How to Use
Select Add/Subtract, Multiply/Divide, or Simplify from the tabs above.
Type the numerator and denominator for each fraction. Use negative numbers for negative fractions.
Click Calculate to see the simplified result with full step-by-step working.
Frequently Asked Questions
Find the LCD (Lowest Common Denominator = LCM of the denominators). Convert each fraction to an equivalent fraction with the LCD, then add the numerators. Example: 1/3 + 1/4 → LCD = 12 → 4/12 + 3/12 = 7/12. Finally simplify if possible.
Multiply numerators together and denominators together, then simplify. Formula: a/b × c/d = (a×c)/(b×d). Example: 2/3 × 3/4 = 6/12 = 1/2. Shortcut: cross-cancel common factors before multiplying — 2/3 × ³⁄₄ → cancel the 3s → 2/1 × 1/4 = 2/4 = 1/2.
Use the KCF rule — Keep the first fraction, Change ÷ to ×, Flip the second fraction (reciprocal). Formula: a/b ÷ c/d = a/b × d/c = (a×d)/(b×c). Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
Divide both numerator and denominator by their GCD (Greatest Common Divisor). Example: 18/24 → GCD(18, 24) = 6 → 18÷6 / 24÷6 = 3/4. A fraction is fully simplified when GCD = 1. To find GCD, use the Euclidean algorithm: GCD(18,24) → 24 mod 18 = 6 → 18 mod 6 = 0 → GCD = 6.
Proper fraction: numerator < denominator (e.g. 3/4). Improper fraction: numerator ≥ denominator (e.g. 7/4). Mixed number: whole part + proper fraction (e.g. 1¾). To convert 7/4 to a mixed number: 7 ÷ 4 = 1 remainder 3 → write as 1 3/4. In exams, answers are usually expressed as simplified improper fractions or mixed numbers.
Fractions appear across nearly every topic in SSC, IBPS, and Railway papers: percentage-to-fraction conversions (1/8 = 12.5%), ratio and proportion, profit & loss (SP as fraction of CP), time & work (work done per day as fraction), and data interpretation. Mastering fraction arithmetic speeds up calculation across all these areas.