Answer:
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 \(\frac{x+9}{5}\)
and
The quantity of x plus 5, all over 5 means \(\frac{x+5}{5}\)
Then; we have;
\(\frac{x+9}{5}-\frac{x+5}{5}\)
we can write this as ;
\(\frac{(x+9)-(x+5)}{5}\)
⇒\(\frac{x+9-x-5}{5}\)
Combine like terms;
⇒\(\frac{4}{5}\)
therefore the simplified form of the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5 is, \(\frac{4}{5}\)
