Basic Math Examples

\frac{6}{7} \div \frac{9}{10}

$\frac{6}{7} \div \frac{9}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{6}{7} \cdot \frac{10}{9}

$\frac{6}{7} \cdot \frac{10}{9}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

6

$6$ .

\frac{3 (2)}{7} \cdot \frac{10}{9}

$\frac{3 (2)}{7} \cdot \frac{10}{9}$

Step 2.2

Factor

3

$3$ out of

9

$9$ .

\frac{3 \cdot 2}{7} \cdot \frac{10}{3 \cdot 3}

$\frac{3 \cdot 2}{7} \cdot \frac{10}{3 \cdot 3}$

Step 2.3

Cancel the common factor.

$\frac{3 \cdot 2}{7} \cdot \frac{10}{3 \cdot 3}$

Step 2.4

Rewrite the expression.

$\frac{2}{7} \cdot \frac{10}{3}$

$\frac{2}{7} \cdot \frac{10}{3}$

Step 3

Multiply

$\frac{2}{7}$ by

$\frac{10}{3}$ .

$\frac{2 \cdot 10}{7 \cdot 3}$

Step 4

Multiply.

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Step 4.1

Multiply

$2$ by

$10$ .

$\frac{20}{7 \cdot 3}$

Step 4.2

Multiply

$7$ by

$3$ .

$\frac{20}{21}$

$\frac{20}{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{21}$

Decimal Form:

$0.\overline{952380}$

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