Question

find the quotient. simplify your answer. n-8/n / 3/n

Answer 1

The answer would be:
$\dfrac{n^{2}-8}{3}$

This is how it was solved:

$\dfrac{n- \frac{8}{n} }{ \frac{3}{n} }$

Multiply the numerator and the reciprocal of the denominator. (Following the rules in dividing fractions)

$(n-\frac{8}{n})( \frac{n}{3})$

Distribution property will yield:
$\dfrac{n^{2}}{3} - \dfrac{8n}{3n}$

Simplify what you can:

$\dfrac{n^{2}}{3} - \dfrac{8}{3}$

They have the same denominator, so you can do the operation:

$\dfrac{n^{2}-8}{3}$