Basic Math Examples

\frac{4}{9} \div \frac{7}{12}

$\frac{4}{9} \div \frac{7}{12}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{4}{9} \cdot \frac{12}{7}

$\frac{4}{9} \cdot \frac{12}{7}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

9

$9$ .

\frac{4}{3 (3)} \cdot \frac{12}{7}

$\frac{4}{3 (3)} \cdot \frac{12}{7}$

Step 2.2

Factor

3

$3$ out of

12

$12$ .

\frac{4}{3 \cdot 3} \cdot \frac{3 \cdot 4}{7}

$\frac{4}{3 \cdot 3} \cdot \frac{3 \cdot 4}{7}$

Step 2.3

Cancel the common factor.

$\frac{4}{3 \cdot 3} \cdot \frac{3 \cdot 4}{7}$

Step 2.4

Rewrite the expression.

$\frac{4}{3} \cdot \frac{4}{7}$

$\frac{4}{3} \cdot \frac{4}{7}$

Step 3

Multiply

$\frac{4}{3}$ by

$\frac{4}{7}$ .

$\frac{4 \cdot 4}{3 \cdot 7}$

Step 4

Multiply.

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Step 4.1

Multiply

$4$ by

$4$ .

$\frac{16}{3 \cdot 7}$

Step 4.2

Multiply

$3$ by

$7$ .

$\frac{16}{21}$

$\frac{16}{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{21}$

Decimal Form:

$0.\overline{761904}$

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