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?

the quantity of x plus 4, all over 5
the quantity of x minus 4, all over 5
the quantity of 2x plus 14, all over the quantity 5
the quantity of 4 over 5

Answer 1

the quantity of 4 over 5

Explanation:

According to the description, we have the quantity
`(x+9)/(5) -(x+5)/(5)`

Since both fractions have the same denominator (5), we just need to subtract the numerators:

`(x+9)/(5) -(x+5)/(5)=(x+9-(x+5))/(5) =(x+9-x-5)/(5) =(4)/(5)`

Now we know that the simplified form of the expression is
`(4)/(5)`; translating that fraction into words we get: the quantity of 4 over 5

We can conclude that the simplified form of the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5 is the quantity of 4 over 5