Question

Please do step by step
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Answer 1

Answer:

Concept:

$(x \times y) + (x \times z) = x \times (y + z)$

Find:

We show that LHS =RHS

Given:

$( - 8 \div 9 \times 1 \div - 5) + ( - 8 \div 9 \times - 7 \div 11) = - 8 \div 9 \times ( 1 \div - 5 + - 7 \div 11)$

Step-by-step explanation:

We given

$( - 8 \div 9 \times 1 \div - 5) + ( - 8 \div 9 \times - 7 \div 11) = - 8 \div 9 \times ( 1 \div - 5 + - 7 \div 11)$

LHS

$( - 8 \div 9 \times 1 \div - 5) + ( - 8 \div 9 \times - 7 \div 11)$

$(8 \div 45) + (56 \div 99)$

$88 + 280 \div 495$

$368 \div 495$

RHS

$- 8 \div 9 \times ( 1 \div - 5 + - 7 \div 11)$

$- 8 \div 9 \times ( - 11 - 35 \div 55)$

$- 8 \div 9 \times ( - 46 \div 55)$

$368 \div 495$

LHS=RHS

Hence we show that

$( - 8 \div 9 \times 1 \div - 5) + ( - 8 \div 9 \times - 7 \div 11) = - 8 \div 9 \times ( 1 \div - 5 + - 7 \div 11)$