Basic Math Examples

\frac{4}{5} \div \frac{2}{3}

$\frac{4}{5} \div \frac{2}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{4}{5} \cdot \frac{3}{2}

$\frac{4}{5} \cdot \frac{3}{2}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

\frac{2 (2)}{5} \cdot \frac{3}{2}

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Combine

$\frac{2}{5}$ and

$3$ .

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

Step 4

Multiply

$2$ by

$3$ .

$\frac{6}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$