Question

The reciprocal of (1+9/2 ÷ 4½ ) is​

Answer 1

${\Huge{\bf{\orange{{\underline{Solution :}}}}}}$

$\dashrightarrow\sf \: 1 + \dfrac{9 }{2} \div 4 \dfrac{1}{2}$

$\dashrightarrow\sf \: \dfrac{2 + 9 }{2} \div \dfrac{9}{2}$

$\dashrightarrow\sf \: \dfrac{11}{2} \div \dfrac{9}{2}$

$\dashrightarrow\sf \: \dfrac{11}{2} \times \dfrac{2}{9}$

$\dashrightarrow\sf \: \dfrac{11}{ \cancel{2}} \times \dfrac{\cancel{2}}{9}$

$\dashrightarrow\sf \: \dfrac{11}{9}$

Now , reciprocal of 11/9 will be

$\dashrightarrow\sf \: \dfrac{9}{11}$

Answer 2

${\large{\bf{\clubs{\red{\underline{Question :}}}}}}$

Find the reciprocal of :

${\sf{(1 + \frac{9}{2} \div 4 \frac{1}{2} )}}$

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${\large{\bf{\clubs{\blue{\underline{Solution :}}}}}}$

${\sf{\green{(1 + \frac{9}{2} \div 4 \frac{1}{2} )}}}$

${\sf{\green{ = \frac{11}{2} \div \frac{9}{2} }}}$

Now,

interchange the second term :

${\sf{\green{ = \frac{11}{2} \times \frac{2}{9} }}}$

${\sf{\green{ = \frac{11}{{\cancel2}} \times \frac{{\cancel2}}{9} }}}$

${\sf{\green{ = \frac{11}{9} }}}$

Than,

Reciprocal :

${\sf{\red{\boxed{= \frac{9}{11} }}}}$

${\mathfrak{\orange{ \: \: \: \: \: \: \: \: \: Which \: is \: the \: required}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\mathfrak{\orange {\underbrace{ Answer}}}}$

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${\bf{\underline{\fcolorbox{green}{red}{\blue{XitzNobitaxX}}}}}$