Basic Math Examples

$\frac{28^{3}}{18} \div \frac{2}{9 y^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{28^{3}}{18} \cdot \frac{9 y^{2}}{2}$

Step 2

Combine.

$\frac{28^{3} (9 y^{2})}{18 \cdot 2}$

Step 3

Cancel the common factor of $9$ and $18$ .

Tap for more steps...

Step 3.1

Factor $9$ out of $28^{3} (9 y^{2})$ .

$\frac{9 (28^{3} (y^{2}))}{18 \cdot 2}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $9$ out of $18 \cdot 2$ .

$\frac{9 (28^{3} (y^{2}))}{9 (2 \cdot 2)}$

Step 3.2.2

Cancel the common factor.

$\frac{9 (28^{3} (y^{2}))}{9 (2 \cdot 2)}$

Step 3.2.3

Rewrite the expression.

$\frac{28^{3} (y^{2})}{2 \cdot 2}$

$\frac{28^{3} (y^{2})}{2 \cdot 2}$

$\frac{28^{3} (y^{2})}{2 \cdot 2}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Raise $28$ to the power of $3$ .

$\frac{21952 y^{2}}{2 \cdot 2}$

Step 4.2

Multiply $2$ by $2$ .

$\frac{21952 y^{2}}{4}$

$\frac{21952 y^{2}}{4}$

Step 5

Cancel the common factor of $21952$ and $4$ .

Tap for more steps...

Step 5.1

Factor $4$ out of $21952 y^{2}$ .

$\frac{4 (5488 y^{2})}{4}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor $4$ out of $4$ .

$\frac{4 (5488 y^{2})}{4 (1)}$

Step 5.2.2

Cancel the common factor.

$\frac{4 (5488 y^{2})}{4 \cdot 1}$

Step 5.2.3

Rewrite the expression.

$\frac{5488 y^{2}}{1}$

Step 5.2.4

Divide $5488 y^{2}$ by $1$ .

$5488 y^{2}$

$5488 y^{2}$

$5488 y^{2}$

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