Basic Math Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $10$ .

$\frac{3}{5 (2)} \cdot \frac{15}{7}$

Step 2.2

Factor $5$ out of $15$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

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

Step 3

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

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

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $3$ .

$\frac{9}{2 \cdot 7}$

Step 4.2

Multiply $2$ by $7$ .

$\frac{9}{14}$

$\frac{9}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{14}$

Decimal Form:

$0.6\overline{428571}$

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