Basic Math Examples

$\frac{50}{25} \cdot \frac{15}{90}$

Step 1

Cancel the common factor of $10$ .

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Step 1.1

Factor $10$ out of $50$ .

$\frac{10 (5)}{25} \cdot \frac{15}{90}$

Step 1.2

Factor $10$ out of $90$ .

$\frac{10 \cdot 5}{25} \cdot \frac{15}{10 \cdot 9}$

Step 1.3

Cancel the common factor.

$\frac{10 \cdot 5}{25} \cdot \frac{15}{10 \cdot 9}$

Step 1.4

Rewrite the expression.

$\frac{5}{25} \cdot \frac{15}{9}$

$\frac{5}{25} \cdot \frac{15}{9}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $25$ .

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

Step 2.2

Factor $5$ out of $15$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

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

Step 3

Multiply $\frac{5}{5}$ by $\frac{3}{9}$ .

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

Step 4

Multiply.

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Step 4.1

Multiply $5$ by $3$ .

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

Step 4.2

Multiply $5$ by $9$ .

$\frac{15}{45}$

$\frac{15}{45}$

Step 5

Cancel the common factor of $15$ and $45$ .

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Step 5.1

Factor $15$ out of $15$ .

$\frac{15 (1)}{45}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $15$ out of $45$ .

$\frac{15 \cdot 1}{15 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$\frac{15 \cdot 1}{15 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$\frac{1}{3}$

$\frac{1}{3}$

$\frac{1}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$

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