Question

3/4÷(1/2+5/8-3/4)+5/3=​

Answer 1

GIVEN :-

$\frac{3}{4} \div ( \frac{1}{2} + \frac{5}{8} - \frac{3}{4} ) + \frac{5}{3}$

SOLUTION :-

$\implies \: \frac{\frac{3}{4}}{\frac{4}{8}+\frac{5}{8}-\frac{3}{4}}+\frac{5}{3}$

$\implies \: \frac{\frac{3}{4}}{\frac{4+5}{8}-\frac{3}{4}}+\frac{5}{3}$

$\implies \: \frac{\frac{3}{4}}{\frac{9}{8}-\frac{3}{4}}+\frac{5}{3}$

$\implies \: \frac{\frac{3}{4}}{\frac{9}{8}-\frac{6}{8}}+\frac{5}{3}$

$\implies \: \frac{\frac{3}{4}}{\frac{9-6}{8}}+\frac{5}{3}$

$\implies \: \frac{\frac{3}{4}}{\frac{3}{8}}+\frac{5}{3}$

$\implies \: \frac{3}{4}\times \left(\frac{8}{3}\right)+\frac{5}{3}$

$\implies \: \frac{3\times 8}{4\times 3}+\frac{5}{3}$

$\implies \: \frac{8}{4}+\frac{5}{3}$

$\implies \: 2+\frac{5}{3}$

$\implies \: \frac{6}{3}+\frac{5}{3}$

$\implies \: \frac{6+5}{3}$

$\implies \: \frac{11}{3}$

Thus, the evaluation of $\sf \frac{11}{3}$ will be $\sf\frac{11}{3}\approx 3.666666667$.

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