Basic Math Examples

$\frac{9}{4} \div \frac{45}{26}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{4} \cdot \frac{26}{45}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Factor $9$ out of $45$ .

$\frac{9}{4} \cdot \frac{26}{9 (5)}$

Step 2.2

Cancel the common factor.

$\frac{9}{4} \cdot \frac{26}{9 \cdot 5}$

Step 2.3

Rewrite the expression.

$\frac{1}{4} \cdot \frac{26}{5}$

$\frac{1}{4} \cdot \frac{26}{5}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$\frac{1}{2 (2)} \cdot \frac{26}{5}$

Step 3.2

Factor $2$ out of $26$ .

$\frac{1}{2 \cdot 2} \cdot \frac{2 \cdot 13}{5}$

Step 3.3

Cancel the common factor.

$\frac{1}{2 \cdot 2} \cdot \frac{2 \cdot 13}{5}$

Step 3.4

Rewrite the expression.

$\frac{1}{2} \cdot \frac{13}{5}$

$\frac{1}{2} \cdot \frac{13}{5}$

Step 4

Multiply $\frac{1}{2}$ by $\frac{13}{5}$ .

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

Step 5

Multiply $2$ by $5$ .

$\frac{13}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{10}$

Decimal Form:

$1.3$

Mixed Number Form:

$1 \frac{3}{10}$

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