Question

the value of [3 -¹ + 4 -¹] ÷ by 5-¹ is​

Answer 1

$[( {3})^{ - 1} + {(4)}^{ - 1} ] \div {(5)}^{ - 1}$

$\large = \frac{( {3})^{ - 1} + {(4)}^{ - 1} }{ {(5)}^{ - 1} }$

$\large{ = \LARGE \frac{ \frac{1}{3} + \frac{1}{4} }{ \frac{1}{5} } }$

$\large = \LARGE\frac{ (\frac{1 \times 4}{3 \times 4}) + (\frac{1 \times 3}{4 \times 3}) }{( \frac{1}{5}) }$

$\large = \LARGE \frac{ \frac{4}{12} + \frac{3}{12} }{ (\frac{1}{5}) }$

$\large = \LARGE\frac{ (\frac{4 + 3}{12} )}{ (\frac{1}{5}) }$

$\large = \LARGE \frac{ (\frac{7}{12} )}{ (\frac{1}{5} )}$

$\large = \frac{7}{12} \div \frac{1}{5}$

$\large = \frac{7}{12} \times \frac{5}{1}$

$= \boxed{ \red{ \large \LARGE \frac{35}{12} }}$

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