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JAMB 1990 · UME · Q1

Simplify 434−614415 of 114\dfrac{4\frac34 - 6\frac14}{4\frac15 \text{ of } 1\frac14}.

Worked solution (try it first)
  1. Top: 434−614=194−2544\frac34 - 6\frac14 = \frac{19}{4} - \frac{25}{4}
    =−64= -\frac64, which is −32-\frac32.
  2. Bottom: "of" means multiply, so 215×54=214\frac{21}{5} \times \frac54 = \frac{21}{4}.
  3. Divide by flipping the bottom: −32×421=−1242-\frac32 \times \frac{4}{21} = -\frac{12}{42}
    =−27= -\frac27, option B.

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