Basic Math Examples

$\frac{12}{8} \div \frac{15}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{8} \cdot \frac{4}{15}$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Factor $3$ out of $12$ .

$\frac{3 (4)}{8} \cdot \frac{4}{15}$

Step 2.2

Factor $3$ out of $15$ .

$\frac{3 \cdot 4}{8} \cdot \frac{4}{3 \cdot 5}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot 4}{8} \cdot \frac{4}{3 \cdot 5}$

Step 2.4

Rewrite the expression.

$\frac{4}{8} \cdot \frac{4}{5}$

$\frac{4}{8} \cdot \frac{4}{5}$

Step 3

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1

Factor $4$ out of $8$ .

$\frac{4}{4 (2)} \cdot \frac{4}{5}$

Step 3.2

Cancel the common factor.

$\frac{4}{4 \cdot 2} \cdot \frac{4}{5}$

Step 3.3

Rewrite the expression.

$\frac{4}{2} \cdot \frac{1}{5}$

$\frac{4}{2} \cdot \frac{1}{5}$

Step 4

Multiply $\frac{4}{2}$ by $\frac{1}{5}$ .

$\frac{4}{2 \cdot 5}$

Step 5

Multiply $2$ by $5$ .

$\frac{4}{10}$

Step 6

Cancel the common factor of $4$ and $10$ .

Tap for more steps...

Step 6.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{10}$

Step 6.2

Cancel the common factors.

Tap for more steps...

Step 6.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 2}{2 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$\frac{2}{5}$

$\frac{2}{5}$

$\frac{2}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$

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