Question

Subtract the sum of −36/11 49/22 from the sum of 33/8 −19/4.

Answer 1

Solution :-

Step 1 :-

$\sf {\: Sum \: of \: \dfrac{33}{8} \: and \: \dfrac{ - 19}{4} :- }$

$\sf \: \implies \: \dfrac{33}{8} \: + \: ( - \dfrac{19}{4} )$

$\sf \: \implies \: \dfrac{33}{8} \: - \: \dfrac{19}{4}$

Take Their common L.C.M as 8 :-

$\sf \: \implies \: \dfrac{33 \: - \: 38}{8}$

$\implies \: \boxed{\sf \: \: \dfrac{ - 5}{8}}$

Step 2 :-

$\sf \: Sum \: of \: \dfrac{ - 36}{11} \: and \: \dfrac{49}{22} :-$

$\sf \: \implies \: \dfrac{ - 36}{11} \: + \: \dfrac{49}{22}$

Take their common L.C.M. as 22 :-

$\implies \: \sf \: \dfrac{ - 72 \: + \: 49}{22}$

$\implies \: \boxed{\sf \: \dfrac{ - 23}{22}}$

Step 3 :-

$\sf \: Subtract \: \dfrac{ - 23}{22} \: from \: \dfrac{ - 5}{8} :-$

$\implies \: \sf \: \dfrac{ - 5}{8} \: - \: (\dfrac{ - 23}{22})$

$\implies \: \sf \: \dfrac{ - 5}{8} \: + \: \dfrac{ 23}{22}$

Take their common L.C.M. as 88 :-

$\implies \: \sf \: \dfrac{ - 55 \: + \: 92}{88}$

$\implies \: \boxed{\sf \: \: \dfrac{37}{88}}$

$\sf \: So, \: the \: answer \: is :-$

$\implies{\boxed{\boxed{\sf \: \: \dfrac{37}{88}}}}$