Question 77

The reciprocal of the sum of the reciprocals of $$\frac{5}{8}$$ and $$\frac{3}{4}$$ is

Solution
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Sum of the reciprocals of $$\frac{5}{8}$$ and $$\frac{3}{4}=\frac{8}{5}+\frac{4}{3}=\frac{24+20}{15}=\frac{44}{15\ }$$

$$\therefore\ $$Reciprocal of the Sum of the reciprocals of $$\frac{5}{8}$$ and $$\frac{3}{4}=\frac{15}{44}$$

Hence, the correct answer is Option C

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