Simplify $\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}$

90^o

4 $\frac{1}{2}$

$\frac{1}{2}$

Correct answer is D

$\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}$

from numerator $1 \frac{7}{8} \times 2 \frac{2}{5}$

= $\frac{15}{8} \times \frac{12}{5}$

= $\frac{3 \times 3}{2 \times 1} = \frac{9}{2}$

from denominator $6\frac{3}{4} \div \frac{3}{4}$

= $\frac{27}{4} \div \frac{3}{4}$

= $\frac{27}{4} \times \frac{4}{3}$

= $\frac{9 \times 1}{1 \times 1} = \frac{9}{1}$

$\frac{9}{2} \div \frac{9}{1} = \frac{9}{2} \times \frac{1}{9}$

= $\frac{1}{2}$

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