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

Respuesta :

Answer:

the quantity of 4 over 5

Step-by-step explanation:

According to the description, we have the quantity [tex]\frac{x+9}{5} -\frac{x+5}{5}[/tex]

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

[tex]\frac{x+9}{5} -\frac{x+5}{5}=\frac{x+9-(x+5)}{5} =\frac{x+9-x-5}{5} =\frac{4}{5}[/tex]

Now we know that the simplified form of the expression is [tex]\frac{4}{5}[/tex]; 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