Question

(0.4+8(5 - 0.8 x 5/8)- 5 / 2 1/2) /( 1 7/8 x 8-(8.9- 2.6 / 2/3)x34 2/5)90

Answer 1

`- (86)/(35325)`

Explanation:

`((0.4 + 8(5 - 0.8 * (5)/(8) ) -5 / 2(1)/(2)))/((1 (7)/(8) * 8 - (8.9 - 2.6 / (2)/(3)) * 34 (2)/(5) )90 )`

First, let's find the numerator and denominator separately:

Numerator:

`0.4 + 8(5 - 0.8 * (5)/(8) ) - 5 / 2(1)/(2)`

`0.4 + 8(5 - (8)/(10) * (5)/(8) ) - 5 / (5)/(2)`

`0.4 + 8(5 - (5)/(10) ) - 5 * (2)/(5)`

`0.4 + 8(5 - (1)/(2) ) - 2`

`0.4 + 8(5 - 0.5) - 2`

`0.4 + 36 - 2 = 34.4`

Denominator:

`({1 (7)/(8) * 8 - (8.9 - 2.6 / (2)/(3)) * 34 (2)/(5) ) * 90 }`

`((15)/(8) * 8 - (8.9 - 2.6 * (3)/(2) ) * (172)/(5) ) * 90`

`(15 - (8.9 - 2.6 * 1.5) * (172)/(5) ) * 90`

`(15 - 5 * (172)/(5) ) * 90`

`(15 - 172) * 90`

`- 157 * 90 = - 14130`

Now, let's write these two numbers in a fraction:

`(34.4)/( - 14130) = - (86)/(35325) ≈ - 0.0024`

I don't know if I got it right, though, there was a lot of things to do here...