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Simplify frac 3 4 div 1 frac 1 4 times 1 frac 1... - WAEC Mathematics 1993 Question

Simplify: $\frac{3}{4} \div 1 \frac{1}{4} \times (1 \frac{1}{2} - \frac{2}{3})$

A

7/30

B

7/24

C

9/25

D

¹/₂

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Correct Option: D

$\frac{3}{4} \div 1 \frac{1}{4} \times (1 \frac{1}{2} - \frac{2}{3})$

$\frac{3}{4} \div \frac{5}{4} \times (\frac{9 - 4}{6})$

= $\frac{3}{4} \times \frac{4}{5} \times \frac{5}{6}$

= $\frac{1}{2}$

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