Basic Math Examples

$\frac{10 n}{9} \div \frac{13 n^{2}}{16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{10 n}{9} \cdot \frac{16}{13 n^{2}}$

Step 2

Combine.

$\frac{10 n \cdot 16}{9 (13 n^{2})}$

Step 3

Cancel the common factor of $n$ and $n^{2}$ .

Tap for more steps...

Step 3.1

Factor $n$ out of $10 n \cdot 16$ .

$\frac{n (10 \cdot 16)}{9 (13 n^{2})}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $n$ out of $9 (13 n^{2})$ .

$\frac{n (10 \cdot 16)}{n (9 (13 n))}$

Step 3.2.2

Cancel the common factor.

$\frac{n (10 \cdot 16)}{n (9 (13 n))}$

Step 3.2.3

Rewrite the expression.

$\frac{10 \cdot 16}{9 (13 n)}$

$\frac{10 \cdot 16}{9 (13 n)}$

$\frac{10 \cdot 16}{9 (13 n)}$

Step 4

Multiply.

Tap for more steps...

Step 4.1

Multiply $10$ by $16$ .

$\frac{160}{9 \cdot 13 n}$

Step 4.2

Multiply $9$ by $13$ .

$\frac{160}{117 n}$

$\frac{160}{117 n}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$