Pre-Algebra Examples

$\frac{m n}{3} \div \frac{m}{n}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{m n}{3} \cdot \frac{n}{m}$

Step 2

Cancel the common factor of $m$ .

Tap for more steps...

Step 2.1

Factor $m$ out of $m n$ .

$\frac{m (n)}{3} \cdot \frac{n}{m}$

Step 2.2

Cancel the common factor.

$\frac{m n}{3} \cdot \frac{n}{m}$

Step 2.3

Rewrite the expression.

$\frac{n}{3} n$

Step 3

Combine $\frac{n}{3}$ and $n$ .

$\frac{n \cdot n}{3}$

Step 4

Raise $n$ to the power of $1$ .

$\frac{n^{1} n}{3}$

Step 5

Raise $n$ to the power of $1$ .

$\frac{n^{1} n^{1}}{3}$

Step 6

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{n^{1 + 1}}{3}$

Step 7

Add $1$ and $1$ .

$\frac{n^{2}}{3}$