Question

Please verify this question correct using step by step method.​

Answer 1

this would be helpful I guess

thanks for the question

Answer 2

LHS:

$[ \frac{ - 7}{11} + ( \frac{3}{ - 5}) ] + ( \frac{ - 9}{22} )$

$\implies[ \frac{ (- 7 \times 5) - (3 \times 11)}{11 \times 5} ] - \frac{9}{22}$

$\implies [ \frac{ - 35 - 33}{55} ] - \frac{9}{22}$

$\implies \frac{ - 68}{55} - \frac{9}{22}$

$\implies \frac{ (- 68 \times 2) - (9 \times 5)}{110}$

$\implies \frac{ - 136 - 45}{110}$

$\implies \frac{ - 181}{110}$

RHS:

$\frac{ - 7}{11} + [ \frac{ - 3}{5} - \frac{9}{22} ]$

$\implies \frac{ - 7}{11} + [ \frac{ (- 3 \times 22) - (9 \times 5)}{5 \times 22 } ]$

$\implies \frac{ - 7}{11} + [ \frac{ - 66 - 45}{110} ]$

$\implies \frac{ - 7}{11} - \frac{111}{110}$

$\implies \frac{( - 7 \times 10) - 111}{110}$

$\implies \frac{ - 70 - 111}{110}$

$\implies \frac{ - 181}{110}$

$\red{ \sf\therefore LHS=RHS,hence \: verified.}$

$\purple{ \tt additional \: \: information : }$

• $\sf this \: is \: known \: as \: \orange{associative \: property.}$$\sf it \: is \: only \: applicable \: olny \: for \\\: \sf addition \: ,multiplication$
• $(a + b) + c = a + (b + c)$
• $(a \times b) \times c = a(b \times c)$

HOPE IT HELPS!!