Basic Math Examples

${(\frac{2}{3})}^{2} \div \frac{2}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

${(\frac{2}{3})}^{2} \frac{9}{2}$

Step 2

Apply the product rule to $\frac{2}{3}$ .

$\frac{2^{2}}{3^{2}} \cdot \frac{9}{2}$

Step 3

Combine.

$\frac{2^{2} \cdot 9}{3^{2} \cdot 2}$

Step 4

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

Tap for more steps...

Step 4.1

Factor $2$ out of $2^{2} \cdot 9$ .

$\frac{2 (2 \cdot 9)}{3^{2} \cdot 2}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $2$ out of $3^{2} \cdot 2$ .

$\frac{2 (2 \cdot 9)}{2 \cdot 3^{2}}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (2 \cdot 9)}{2 \cdot 3^{2}}$

Step 4.2.3

Rewrite the expression.

$\frac{2 \cdot 9}{3^{2}}$

$\frac{2 \cdot 9}{3^{2}}$

$\frac{2 \cdot 9}{3^{2}}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Multiply $2$ by $9$ .

$\frac{18}{3^{2}}$

Step 5.2

Raise $3$ to the power of $2$ .

$\frac{18}{9}$

Step 5.3

Divide $18$ by $9$ .

$2$

$2$

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