Basic Math Examples

$\frac{18}{5} \cdot \frac{15}{14}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $18$ .

$\frac{2 (9)}{5} \cdot \frac{15}{14}$

Step 1.2

Factor $2$ out of $14$ .

$\frac{2 \cdot 9}{5} \cdot \frac{15}{2 \cdot 7}$

Step 1.3

Cancel the common factor.

$\frac{2 \cdot 9}{5} \cdot \frac{15}{2 \cdot 7}$

Step 1.4

Rewrite the expression.

$\frac{9}{5} \cdot \frac{15}{7}$

$\frac{9}{5} \cdot \frac{15}{7}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $15$ .

$\frac{9}{5} \cdot \frac{5 (3)}{7}$

Step 2.2

Cancel the common factor.

$\frac{9}{5} \cdot \frac{5 \cdot 3}{7}$

Step 2.3

Rewrite the expression.

$9 \cdot \frac{3}{7}$

$9 \cdot \frac{3}{7}$

Step 3

Combine $9$ and $\frac{3}{7}$ .

$\frac{9 \cdot 3}{7}$

Step 4

Multiply $9$ by $3$ .

$\frac{27}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{7}$

Decimal Form:

$3.\overline{857142}$

Mixed Number Form:

$3 \frac{6}{7}$

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