Question

multiply 6/13 by the reciprocal of 9/31​

Answer 1

$\tt{reciprocal \: \: of \: \: \frac{9}{31} \: \: is \: \: \frac{31}{9} }.$

$\tt{ \frac{6}{13} \times \frac{31}{9} }$

$\tt{ = \frac{6 \times 31}{13 \times 9} }$

$\tt{ = \frac{186}{117} }$

Cancelling by 3 ;

$\tt{ = \frac{62}{39} }$

$\boxed{ \tt{ \large{ \frac{62}{39} }}}$

$\\ \\ \\ \\ \\ \red{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$