Question

-⁵/7 + -⅜ = -⅜+-5/7 verify the following​

Answer 1

To verify -

• -5/7 + -3/8 = -3/8 + -5/7.

Step-by-step explanation -

• We have to show that -

$\longmapsto \sf \dfrac{ - 5}{ \: \: 7} + \dfrac{ - 3}{ \: \: \: 8} = \dfrac{ - 3}{ \: \: \: 8} + \dfrac{ - 5}{ \: \: 7}$

Let -

• -5/7 + -3/8 be "LHS".
• -3/8 + -5/7 be "RHS".

$\rule{300}{3}$

LHS :

$\dashrightarrow \tt \dfrac{ - 5}{ \: \: 7} + \dfrac{ - 3}{ \: \: \: 8}$

$\dashrightarrow\tt\dfrac{( - 5 \times 8) + ( - 3 \times 7)}{56}$

$\dashrightarrow \tt \dfrac{ - 40 - 21}{56}$

$\dashrightarrow \tt\dfrac{ - 61}{ \: \: \: 56}$

RHS :

$\dashrightarrow\tt \dfrac{-3}{8} + \dfrac{-5}{7}$

$\dashrightarrow\tt \dfrac{(-3 \times 7) + (-5 \times 8)}{56}$

$\dashrightarrow \tt \dfrac{-21 - 40}{56}$

$\dashrightarrow\tt \dfrac{-61}{56}$

LHS = RHS

Hence verified!!

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