Question

(1/2)- 2 ÷(2/3)-3
find the reciprocals​

Answer 1

$\textbf{\huge\underline{\underline\red{solution} : - }}$

(1/2)- 2 ÷(2/3)-3

$\tt{we \: can \: wrte \: it \: as}$

$\tt \purple{ = > (\frac{1}{2}) - 2 \div( \frac{2}{3} ) - 3 } \\ \\ \tt \purple{ = \frac{1}{2} - \frac{2 \times 2}{2} \div \frac{2}{3} - \frac{3 \times 3}{3} } \\ \\ \tt \purple{ = \frac{1}{2} - \frac{4}{2} \div \frac{2}{3} - \frac{9}{3} } \\ \\ \tt \purple{ = \frac{1 - 4}{2} \div \frac{2 - 9}{3} } \\ \\ \tt \purple{ = - \frac{3}{2} \div ( - \frac{7}{3} )}$

$\tt{we \: can \: write \: it \: as}$

$\tt \huge\purple{ = \frac{ - \frac{3}{2} \: }{ - \frac{7}{3} } } \\ \\ \huge\purple{ = \: - \frac{3}{2} \times - \frac{3}{7} } \\ \\ \\ \\ \tt \huge\red{ = \: \: \: \: \: \frac{9}{14} }$

$\tt{Answer \: is \red{ \: \: \: \: \frac{14}{9} }\: \: \: \:which \: is\:resiprocal.} \\ \\ \\ \fcolorbox{red}{aqua}{i \: hope \: it \: helps \: you.}$