The reciprocal of the sum of the reciprocals | vedclass

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Question

(NONE) Step $1$: Find the reciprocals of the given fractions.
The reciprocal of $\frac{6}{5}$ is $\frac{5}{6}$.
The reciprocal of $\frac{3}{7}$ is $

Vedclass · Accepted Answer

$\frac{6}{19}$

Vedclass · Answer

(NONE) Step $1$: Find the reciprocals of the given fractions.
The reciprocal of $\frac{6}{5}$ is $\frac{5}{6}$.
The reciprocal of $\frac{3}{7}$ is $\frac{7}{3}$.
Step $2$: Find the sum of these reciprocals.
Sum $= \frac{5}{6} + \frac{7}{3} = \frac{5 + 14}{6} = \frac{19}{6}$.
Step $3$: Find the reciprocal of the sum obtained in Step $2$.
The reciprocal of $\frac{19}{6}$ is $\frac{6}{19}$.

The reciprocal of the sum of the reciprocals of $\frac{6}{5}$ and $\frac{3}{7}$ is:

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