OpenOlympiad
Concept 5 of 11Foundation
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Adding & subtracting fractions

Like fractions (same denominator): add/subtract the tops, keep the bottom.
2/7 + 3/7 = 5/7.

Unlike fractions: find LCM of denominators first, rewrite both with LCM as denominator, then add.

Mixed numbers: either convert to improper first, or add whole + fraction parts separately (carry if fraction part ≥ 1).

Example
1/4 + 2/3. LCM(4,3) = 12. = 3/12 + 8/12 = 11/12.
2½ + 1⅔ = 5/2 + 5/3 = 15/6 + 10/6 = 25/6 = 4⅙.
💡 Tip:Never add denominators. 1/2 + 1/3 is NOT 2/5!
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5 questions to check what you just read.

0 / 5
  1. Q1.3/7 + 2/7 = ?
  2. Q2.1/3 + 1/6 = ?
  3. Q3.5/6 − 1/2 = ?
  4. Q4.2/3 + 1/4 = ?
  5. Q5.3/4 − 1/8 = ?