Question

find the reciprocal of 3/4 + 1/6 - 1/3​

Answer 1

Answer:

$\frac{12}{7}$

Step-by-step explanation:

$\: \: \: \: \: \: \: ( \frac{3}{4} + \frac{1}{6} - \frac{1}{3} ) ^{ - 1}$

$= (\frac{9 + 2 - 4}{12}) ^{ - 1}$

$= (\frac{11 - 4}{12} )^{ - 1}$

$= ( \frac{7}{12} ) ^{ - 1}$

$= \frac{12}{7}$