Basic Math Examples

\frac{3}{4} \div \frac{5}{16}

$\frac{3}{4} \div \frac{5}{16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{3}{4} \cdot \frac{16}{5}

$\frac{3}{4} \cdot \frac{16}{5}$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

16

$16$ .

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Combine

$3$ and

$\frac{4}{5}$ .

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

Step 4

Multiply

$3$ by

$4$ .

$\frac{12}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$