Basic Math Examples

$\frac{13}{4} \div \frac{13}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{13}{4} \cdot \frac{6}{13}$

Step 2

Cancel the common factor of $13$ .

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Step 2.1

Cancel the common factor.

$\frac{13}{4} \cdot \frac{6}{13}$

Step 2.2

Rewrite the expression.

$\frac{1}{4} \cdot 6$

$\frac{1}{4} \cdot 6$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$\frac{1}{2 (2)} \cdot 6$

Step 3.2

Factor $2$ out of $6$ .

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

Step 3.3

Cancel the common factor.

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

Step 3.4

Rewrite the expression.

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

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

Step 4

Combine $\frac{1}{2}$ and $3$ .

$\frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

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