Question

simplify the following :​

Answer 1

$Ans (a)$

$\frac{32}{5} + ( \frac{23}{11} \times \frac{22}{15} )$

$\frac{32}{5} \: + ( \frac{23}{1} \times \frac{2}{15} )$

$\frac{32}{5} \: + \frac{46}{15}$

$\frac{32}{5} \times \frac{3}{3} + \frac{46}{15}$

$\frac{96 \: + \: 46}{15}$

$\frac{142}{15}$

$Ans (b)$

$\frac{3}{7} \times \frac{28}{15} \div \frac{14}{5}$

$\frac{1}{1} \times \frac{4}{5} \div \frac{14}{5}$

$\frac{4}{5} \times \frac{5}{14}$

$\frac{2}{1} \times \frac{1}{7}$

$\frac{2}{7}$

$Ans (c)$

$\frac{7}{3} \times ( \frac{ - 2}{21} \times \frac{ - 9}{2} )$

$\frac{7}{3} \times ( \frac{ - 1}{21} \times \frac{ - 9}{1} )$

$\frac{7}{3} \times \frac{9}{21}$

$\frac{1}{1} \times \frac{3}{3}$

$\frac{3}{3}$

$1$

$Ans (d)$

$( \frac{1}{4} + \frac{1}{8} ) + \frac{1}{8}$

$( \frac{1}{4} \times \frac{2}{2} + \frac{1}{8} ) + \frac{1}{8}$

$\frac{2 \: + 1}{8} + \frac{1}{8}$

$\frac{3 + 1}{8}$

$\frac{4}{8}$

$\frac{1}{2}$

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