Pre-Algebra Examples

$\frac{5}{12} \div \frac{3}{16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{12} \cdot \frac{16}{3}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $12$ .

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

Step 2.2

Factor $4$ out of $16$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

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

Step 3

Multiply $\frac{5}{3}$ by $\frac{4}{3}$ .

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

Step 4

Multiply.

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Step 4.1

Multiply $5$ by $4$ .

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

Step 4.2

Multiply $3$ by $3$ .

$\frac{20}{9}$

$\frac{20}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{9}$

Decimal Form:

$2.\overline{2}$

Mixed Number Form:

$2 \frac{2}{9}$

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