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JAMB 1984 · UME · Q1

Simplify (23−15)−13 of 253−11/2\dfrac{\left(\frac23 - \frac15\right) - \frac13 \text{ of } \frac25}{3 - \frac{1}{1/2}}.

Worked solution (try it first)
  1. Top bracket: the LCD of 3 and 5 is 15, so 23−15=1015−315\frac23 - \frac15 = \frac{10}{15} - \frac{3}{15}
    =715= \frac{7}{15}.
  2. "Of" means multiply: 13\frac13 of 25\frac25 is 215\frac{2}{15}.
  3. So the top is 715−215=515\frac{7}{15} - \frac{2}{15} = \frac{5}{15}, which is 13\frac13.
  4. Bottom: dividing by 12\frac12 doubles, so 11/2=2\frac{1}{1/2} = 2 and the bottom is 3−2=13 - 2 = 1.
  5. So the value is 13÷1=13\frac13 \div 1 = \frac13, option C.

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