Question

simplify
$( {3}^{ - 1} + {6}^{ - 1} \div \frac{3}{4} ^{ - 1} )$
​

Answer 1

$\sf{( {3}^{ - 1} + {6}^{ - 1} \div \frac{3}{4} ^{ - 1} ) \: = \frac{1}{3} + \frac{1}{6} \div \frac{4 }{3} } = \sf{ \frac{1}{3} + \frac{1}{6} \times \frac{3}{4} }$

$\sf{ \frac{1}{3} + \cancel{\frac{1}{6} \times \frac{3}{4}} } \: = \sf{ \frac{1}{3} + \frac{1}{8} = \blue{\frac{8 + 3}{24} = \frac{11}{24} }}$