Evaluate the following expression. [-4over7 ÷1over12]÷[-4over5× \(-2)-(-2over7)]

Evaluate the following expression. [-4over7…

Evaluate the following expression.

$[{-4\over7} \div{1\over12}]\div[{-4\over5}\times \{(-2)-({-2\over7})]$

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Correct answer: A

Explanation

The correct answer is option 1 i.e. -5

$[{-4\over7} \div{1\over12}]\div[{-4\over5}\times \{(-2)-({-2\over7})]$

[-4/7 × 12/1] ÷ [-4/5{(-2) + 2/7}]

= [-48/7] ÷ [-4/5{(-14 + 2)/7}]

= [-48/7] ÷ [-4/5 × -12/7]

= -48/7 ÷ 48/35

= -48/7 × 35/48

= -5