Question

What is the value of the expression below?

Answer 1

It's D.
3.5-9.75 is -6.25
-6.25 divided by - 2.5 is 2.5

Answer 2

Option (d) is correct.

`\left(3(1)/(2)-9(3)/(4)\right)/ \left(-2.5\right)=2.5`

Explanation:

Given: Expression
`\left(3(1)/(2)-9(3)/(4)\right)/ \left(-2.5\right)`

We have to find the value of the given expression
`\left(3(1)/(2)-9(3)/(4)\right)/ \left(-2.5\right)`

Consider the given expression
`\left(3(1)/(2)-9(3)/(4)\right)/ \left(-2.5\right)`

Convert mixed fraction into fraction as
`a(b)/(c)=(a\cdot \:c+b)/(c)`

We get,

`=\left((7)/(2)-(39)/(4)\right)/ \left(-2.5\right)`

`(7)/(2)-(39)/(4)=-\left((39)/(4)-(7)/(2)\right)`

`=((39)/(4)-(7)/(2))/(2.5)`

Consider
`(39)/(4)-(7)/(2)`

Make denominator equal.

we get,

`=(39)/(4)-(14)/(4)=(25)/(4)`

Thus,
`\left((7)/(2)-(39)/(4)\right)/ \left(-2.5\right)` becomes
`=((25)/(4))/(2.5)`

Apply fraction rule,
`((b)/(c))/(a)=(b)/(c\:\cdot \:a)`

we have,

`=(25)/(4\cdot \:2.5)`

Simplify, we have

= 2.5

Thus,
`\left(3(1)/(2)-9(3)/(4)\right)/ \left(-2.5\right)=2.5`