Pre-Algebra Examples

$\frac{3}{4} \div \frac{13}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot \frac{10}{13}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$\frac{3}{2 (2)} \cdot \frac{10}{13}$

Step 2.2

Factor $2$ out of $10$ .

$\frac{3}{2 \cdot 2} \cdot \frac{2 \cdot 5}{13}$

Step 2.3

Cancel the common factor.

$\frac{3}{2 \cdot 2} \cdot \frac{2 \cdot 5}{13}$

Step 2.4

Rewrite the expression.

$\frac{3}{2} \cdot \frac{5}{13}$

$\frac{3}{2} \cdot \frac{5}{13}$

Step 3

Multiply $\frac{3}{2}$ by $\frac{5}{13}$ .

$\frac{3 \cdot 5}{2 \cdot 13}$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $5$ .

$\frac{15}{2 \cdot 13}$

Step 4.2

Multiply $2$ by $13$ .

$\frac{15}{26}$

$\frac{15}{26}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{26}$

Decimal Form:

$0.5\overline{769230}$

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