Question

$\frac{ \frac{3}{4} \ \div \frac{3}{4} \times 2 + \frac{3}{4} }{ \frac{13}{4} \div \frac{5}{2} \times \frac{15}{4} }$
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Answer 1

$\: \: \: \: \frac{ \frac{3}{4} \div \frac{3}{4} \times 2 + \frac{3}{4} }{ \frac{13}{4} \div \frac{5}{2} \times \frac{15}{4} } = {?}$

$= \frac{ \frac{3}{4} \times \frac{4}{3} \times \frac{2}{1} + \frac{3}{4} }{ \frac{13}{4} \times \frac{2}{5} \times \frac{15}{4} }$

$= \frac{1 \times \frac{2}{1} + \frac{3}{4} } { \frac{13}{2 } \times \frac{3}{4} }$

$= \frac{ \frac{8 + 3}{4} }{ \frac{39}{8} }$

$= \frac{ \frac{11}{4} }{ \frac{39}{8} }$

$= (11 \div 4) \div (39 \div 8)$

$= (11 \times \frac{1}{4} ) \div (39 \times \frac{1}{8} )$

$= \frac{11}{4} \div \frac{39}{8}$

$= \frac{11}{4} \times \frac{8}{39}$

$= \frac{22}{39}$