Question

What is the simplified form of the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5?

Answer 1

`(x+9)/(5) - (x+5)/(5)= (x+9-(x+5))/(5)=(x+9-x-5)/(5)=\boxed{(4)/(5)}`

Answer 2

Given the statement: the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5.

The quantity of x plus 9, all over 5 means
`(x+9)/(5)`

and

The quantity of x plus 5, all over 5 means
`(x+5)/(5)`

Then; we have;

`(x+9)/(5)-(x+5)/(5)`

we can write this as ;

`((x+9)-(x+5))/(5)`

⇒
`(x+9-x-5)/(5)`

Combine like terms;

⇒
`(4)/(5)`

therefore the simplified form of the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5 is,
`(4)/(5)`