Pre-Algebra Examples

$\frac{4}{5} \div \frac{8}{15}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{5} \cdot \frac{15}{8}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{4}{5} \cdot \frac{15}{4 (2)}$

Step 2.2

Cancel the common factor.

$\frac{4}{5} \cdot \frac{15}{4 \cdot 2}$

Step 2.3

Rewrite the expression.

$\frac{1}{5} \cdot \frac{15}{2}$

$\frac{1}{5} \cdot \frac{15}{2}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $15$ .

$\frac{1}{5} \cdot \frac{5 (3)}{2}$

Step 3.2

Cancel the common factor.

$\frac{1}{5} \cdot \frac{5 \cdot 3}{2}$

Step 3.3

Rewrite the expression.

$\frac{3}{2}$

$\frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

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