Question

what is the reciprocal of the sum of the reciprocals of 3/5 and 7/3 ?

Answer 1

$reciprocals \: of \: \frac{3}{5} and \frac{7}{3} are \\ = \frac{5}{3} and \frac{3}{7}$
Their sum is
$\frac{5}{3} + \frac{3}{7} \\ = \frac{35 + 9}{21} \\ = \frac{44}{21}$
Their reciprocal is
$\frac{21}{44}$

Answer 2

Reciprocally of the given numbers = 5/3 and 3/7
sum = (35+9)/ 21
= 44 / 21 ( answer)
Hope it will help you.