\( \Large \frac{2+2 \times 2}{2 \div 2 \times 2} \div \frac{\frac{1}{2} \div \frac{1}{2}\ of\ \frac{1}{2}}{\frac{1}{2}+\frac{1}{2}\ of\ \frac{1}{2}} \)


A) \( \Large \frac{9}{8} \)

B) \( \Large \frac{9}{4} \)

C) \( \Large \frac{9}{2} \)

D) None of these

Correct Answer:
C) \( \Large \frac{9}{2} \)

Description for Correct answer:
\( \Large \frac{2+2 \times 2}{2 \div 2 \times 2} \div \frac{\frac{1}{2} \div \frac{1}{2}\ of\ \frac{1}{2}}{\frac{1}{2}+\frac{1}{2}\ of\ \frac{1}{2}} \)

=\( \Large \frac{2+4}{2 \div 4} \div \frac{\frac{1}{2} \div \frac{1}{2} \times \frac{1}{2}}{\frac{1}{2}+\frac{1}{2} \times \frac{1}{2}} \)

= \( \Large \frac{6}{\frac{2}{4}} \div \frac{\frac{1}{2} \div \frac{1}{4}}{\frac{1}{2}+\frac{1}{4}} \)

= \( \Large \frac{6 \times 4}{2} \div \frac{\frac{1}{2} \times 4}{\frac{3}{4}} \)

= \( \Large 12 \div 2 \times \frac{4}{3}=12 \div \frac{8}{3} = 12 \times \frac{3}{8} = \frac{9}{2} \)

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification








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