Answer:
the quantity of 4 over 5
Step-by-step explanation:
According to the description, we have the quantity ![\frac{x+9}{5} -\frac{x+5}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B9%7D%7B5%7D%20-%5Cfrac%7Bx%2B5%7D%7B5%7D)
Since both fractions have the same denominator (5), we just need to subtract the numerators:
![\frac{x+9}{5} -\frac{x+5}{5}=\frac{x+9-(x+5)}{5} =\frac{x+9-x-5}{5} =\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B9%7D%7B5%7D%20-%5Cfrac%7Bx%2B5%7D%7B5%7D%3D%5Cfrac%7Bx%2B9-%28x%2B5%29%7D%7B5%7D%20%3D%5Cfrac%7Bx%2B9-x-5%7D%7B5%7D%20%3D%5Cfrac%7B4%7D%7B5%7D)
Now we know that the simplified form of the expression is
; 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