Algebraic Fractions — O/L Mathematics

How do I practise Algebraic Fractions?

1 question with a worked solution

1. Simplify the sum of algebraic fractions: 3/(2x) + 5/(3x).
   1. A) 19/(6x)
   2. B) 15/(6x²)
   3. C) 19/(5x)
   4. D) 8/(5x)
   Check my answer

   Correct answer: A) 19/(6x)

   Common denominator is LCM(2x, 3x) = 6x. 3/(2x) = 9/(6x), and 5/(3x) = 10/(6x). Sum = (9 + 10) / (6x) = 19/(6x).

   Show worked solution

   Step 1: Identify denominators: 2x and 3x. Step 2: Common denominator = 6x. Step 3: Convert numerators: 3 × 3 = 9; 5 × 2 = 10. Step 4: Add numerators over common denominator: (9 + 10) / 6x = 19 / 6x. Answer: 19/(6x).
   Modelled on: the O/L Mathematics examination pattern

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Where does Algebraic Fractions fit in the syllabus?

Grade 10 · Term 2 · Grade 11 · Term 1