Question

Simplify the following:
5/22-(-3/7)-6/11-8/21

a)240/321
b)-125/462
c)-23/47
d)14/62​

Answer 1

d) 14/62 is the answer

please make me brainlist

Answer 2

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt Simplify\: the\: following:$

$\sf \bf \dfrac{5}{22}-\bigg[\dfrac{-3}{7} \bigg] - \dfrac{6}{11}-\dfrac{8}{21}$

$\sf \bf a)\:\dfrac{240}{321}$

$\sf \bf b)\:\dfrac{-125}{462}$

$\sf \bf c)\:\dfrac{-23}{47}$

$\sf \bf d)\:\dfrac{14}{62}$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf \implies \dfrac {5}{22}-\bigg[\dfrac{-3}{7} \bigg] - \dfrac{6}{11}-\dfrac{8}{21}$

$\sf \bf\implies \dfrac {5}{22}+\dfrac{3}{7} - \dfrac{6}{11}-\dfrac{8}{21}$

${\underbrace {\overbrace {\color {orange} {\sf \bf By\:taking \:LCM}}}}$

$\sf \bf\implies \dfrac{105+198-252-176}{462}$

$\implies {\boxed {\boxed {\color {blue} {\sf \bf \dfrac{-125}{462}}}}}$

${\color {purple} \underline {\tt \therefore Option \:b)\: \dfrac{-125}{462} \:is\:the\:correct \:answer}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

${\color {green} {\tt Identities}}$

$\sf \bf {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$

$\sf \bf (a+b) (a-b) ={a}^{2}-{b}^{2}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$