Question

The result of which expression will best estimate the actual product of​

Answer 1

b)
`(1)/(2)` or 0.5

Step-by-step explanation:

Let's see the actual product of the initial fractions

`-(4)/(5)` *
`(3)/(5)` *
`-(6)/(7)` *
`(5)/(6)` =
`(12)/(35)`

= 0.3429 ≈ 0.34

Now let's see the product of the fractions from options A - D

Option A

(-1 * -1 * - 1) *
`(1)/(4)` =
`-(1)/(4)` or -0.25

Option B

(-1 * -1 * 1) *
`(1)/(2)` =
`(1)/(2)` or 0.50

Option C

`-(4)/(2)` *
`(3)/(2)` *
`-(2)/(5)` *
`(5)/(2)` = 3

Option D

`-(3)/(4)` *
`-(3)/(4)` *
`-(1)/(5)` *
`(1)/(2)` =
`-(9)/(160)`

= -0.05625 ≈ -0.056

The initial fraction is
`(12)/(35)` or 0.34 & Option B is
`(1)/(2)` or 0.5.

As such, Option B is the answer that best estimates the actual products of the fraction in the question