Basic Math Examples

\frac{4}{5} \div \frac{3}{10}

$\frac{4}{5} \div \frac{3}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{4}{5} \cdot \frac{10}{3}

$\frac{4}{5} \cdot \frac{10}{3}$

Step 2

Cancel the common factor of

5

$5$ .

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Step 2.1

Factor

5

$5$ out of

10

$10$ .

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$4 (\frac{2}{3})$

Step 3

Combine

$4$ and

$\frac{2}{3}$ .

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

Step 4

Multiply

$4$ by

$2$ .

$\frac{8}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$