Question

What is the value of −9/4 + |−8/5| − 2 1/2 ?

Answer 1

The answer is C. -3
`(3)/(20)`

Explanation:

- 9/4 + 8/5 - 5/2

(The absolute value symbol makes the negative a positive, and 2 and 1/2 is 5/2 in improper form)

- 9/4 + 8/5 - 10/4

-19/4 + 8/5

-95/20 + 32/20

-63/20

-3
`(3)/(20)`

Hope this helps!

Answer 2

`-2(3)/(4)`

Explanation:

Given: −9/4 + |−8/5| − 2 1/2

Rewriting:
`-(9)/(4) + |-(8)/(5) |-2(1)/(2)`

Absolute value:
`-(9)/(4) + (8)/(5) -2(1)/(2)`

Improper fractions:
`-(9)/(4) + (8)/(5) -(5)/(2)`

Common denominators:
`-(45)/(20) + (40)/(20) -(50)/(20)`

Solving from left to right:
`-(5)/(20) -(50)/(20)`

Solving from left to right part two:
`-(55)/(20)`

Simplifying:
`-(55)/(20)= -(11)/(4) =-2(3)/(4)`

Answer:
`-2(3)/(4)`

Hope this is correct and helps, have a nice day! :D