Question

verify that l:-(-2/3+(-3/11+5/22)=(-2/3+-3/11)+5/22​

Answer 1

Answer:

yes LHS is equal to rhs

because both solutions is -13/22

Answer 2

$- ( \frac{ - 2}{3} + ( \frac{ - 3}{11} + \frac{5}{22} ) )= (\frac{ - 2}{3} + \frac{ - 3}{11} ) + \frac{5}{22}$

$lhs = - ( \frac{ - 2}{3} + ( \frac{ - 3}{11} + \frac{5}{22} ))$

$\: \: \: \: \: \: \: = - ( \frac{ - 2}{3} + ( \frac{ - 3}{11} \times \frac{2}{2} + \frac{5}{22} ))$

$\: \: \: \: \: \: = - ( \frac{ - 2}{3} + ( \frac{ - 6 + 5}{22} ))$

$\: \: \: \: \: \: = - (\frac{ - 2}{3} + \frac{ - 1}{22} )$

$\: \: \: \: \: \: = - ( \frac{ - 2}{3} \times \frac{22}{22} + \frac{ - 1}{22} \times \frac{3}{3} ) \: \: \: \:$

$\: \: \: \: \: \: = - ( \frac{( - 44 )+ ( - 3)}{66} )$

$\: \: \: \: \: \: = - ( \frac{ - 47}{66} )$

$\: \: \: \: \: \: = \frac{47}{66}$

$rhs = ( \frac{ - 2}{3} + \frac{ - 3}{11} ) + \frac{5}{22}$

$\: \: \: \: \: \: \: = ( \frac{ - 2}{3} \times \frac{11}{11} + \frac{ - 3}{11} \times \frac{3}{3} ) + \frac{5}{22}$

$\: \: \: \: \: \: \: = ( \frac{ (- 22 )+ ( - 9)}{33} ) + \frac{5}{22} \:$

$\: \: \: \: \: \: \: = \frac{ - 31}{33} + \frac{5}{22}$

$\: \: \: \: \: \: \: = \frac{ - 31}{33} \times \frac{22}{22} + \frac{5}{22} \times \frac{33}{33}$

$\: \: \: \: \: \: \: = \frac{ (- 682) + 165}{726}$

$\: \: \: \: \: \: \: = \frac{517}{726}$

$\: \: \: \: \: \: \: = \frac{47}{66}$

$lhs = rhs$

$\frac{47}{66} = \frac{47}{66}$

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