Question

7. Which rational number should be added to
to get
-7/9to get 6/11​

Answer 1

$\bf \: \underline{Given} :$

$\sf \implies Sum \: of \: two \: rational \: numbers = \dfrac{6}{11}$

$\sf \implies 1^{st} \: rational \:number = \dfrac{ - 7}{9}$

$\bf \: \underline{To \: find } :$

$\sf \implies T he \: number \: that \: should \: be \: added \: with \: \dfrac{ - 7}{9} \: to \: get \: \dfrac{6}{11}$

$\bf \underline{\underline{Solution } }$

$\sf \implies Let \: us \: assume \: that \: the \: another \: number \: be \: M$

$\implies \sf Equation = \bf \dfrac{ - 7}{9} \: + M = \dfrac{6}{11}$

$\sf \implies M = \dfrac{6}{11} - \dfrac{ - 7}{9}$

$\sf \implies M = \dfrac{6\times9=54}{11\times9=99} - \dfrac{ - 7\times11=-77}{9\times11=99}$

$\sf \implies M = \dfrac{54}{99} - \dfrac{ - 77}{99}$

$\sf \implies M = \dfrac{54}{99} + \dfrac{77}{99}$

$\sf \implies M = \dfrac{54 + 77}{99}$

$\sf \implies M = \dfrac{131}{99}$

$\underline{\boxed{ \pink{\sf So, the \: another \: rational \: number \: is \:\dfrac{131}{99}} }}$