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If $x = − 4 9$ , $y = 512$ , and $z = 718$ and , then compute $x ÷ (y ÷ z)$ , then compute .

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− 56 135

56135

216142

− 216 142

answer is A.

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Detailed Solution

Here, we are given that

x = − 4 9

y = 512

and

z = 718

, and we have to compute

x ÷ (y ÷ z)

.
So, substituting the values for x, y and z in

x ÷ (y ÷ z)

, we get,

− 4 9 ÷ 512 ÷ 718 = − 4 9 ÷ 512 × 187 = − 4 9 ÷ 5 × 18 12 × 7 = − 4 9 ÷ 9084 = − 4 9 ÷ 4542

Now, again we will replace the division sign with that of multiplication sign in the above expression and taking the reciprocal of

4542

− 4 9 ÷ 4542 = − 4 9 × 4245 = (− 4) × 42 9 × 45 = (− 4) × 14 3 × 45 = − 56 135

So, the value of

x ÷ (y ÷ z)

x = − 4 9

y = 512

and

z = 718

is obtained as

− 56 135

.
Hence, the correct option is (1)

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