# How do you find the quotient of (9m^2+5m)div6m?

Sep 30, 2017

$\frac{3}{2} m + \frac{5}{6}$

#### Explanation:

Divide $\frac{9 {m}^{2}}{6 m}$ this is $\frac{3}{2} m$(this is the first term in the quotient)

Multiply $6 m$ by $\frac{3}{2} m$

$\frac{3}{2} m \times 6 m = 9 {m}^{2}$ subtract $9 {m}^{2}$ from $9 {m}^{2}$ this leaves 0

Now divide $5 m$ by $6 m$:

$\frac{5 m}{6 m} = \frac{5}{6}$(this is the second term in the quotient).

Multiply $6 m$ by $\frac{5}{6}$

$\frac{5}{6} \times 6 m = 5 m$

Subtract $5 m$ from $5 m$ this leaves 0

There are now no more terms to divide, so our quotient is:

$\frac{3}{2} m + \frac{5}{6}$

This process needs to be done in columns, but the math formatting in Socratic doesn't seem to allow you to do this, or a least I haven't figured it out yet.