Question

What would be the reciprocal of the sum of the reciprocal of the numbers $\frac{3}{5}$ and $\frac{7}{3}$?

• A. $\frac{1}{42}$
• B. $\frac{21}{44}$
• C. $\frac{4}{5}$
• D. $\frac{36}{55}$

Answer 1

The correct option is B $\frac{21}{44}$

Sum of the reciprocals of $\frac{3}{5}$ and $\frac{7}{3}$
$=\frac{5}{3}+\frac{3}{7}=\frac{35+9}{21}=\frac{44}{21}$
$\therefore$ Required number $=\frac{21}{44}$