Basic Math Examples

$\frac{7}{15} \div \frac{3}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{15} \cdot \frac{10}{3}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $15$ .

$\frac{7}{5 (3)} \cdot \frac{10}{3}$

Step 2.2

Factor $5$ out of $10$ .

$\frac{7}{5 \cdot 3} \cdot \frac{5 \cdot 2}{3}$

Step 2.3

Cancel the common factor.

$\frac{7}{5 \cdot 3} \cdot \frac{5 \cdot 2}{3}$

Step 2.4

Rewrite the expression.

$\frac{7}{3} \cdot \frac{2}{3}$

$\frac{7}{3} \cdot \frac{2}{3}$

Step 3

Multiply $\frac{7}{3}$ by $\frac{2}{3}$ .

$\frac{7 \cdot 2}{3 \cdot 3}$

Step 4

Multiply $7$ by $2$ .

$\frac{14}{3 \cdot 3}$

Step 5

Multiply $3$ by $3$ .

$\frac{14}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{9}$

Decimal Form:

$1.\overline{5}$

Mixed Number Form:

$1 \frac{5}{9}$

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