Basic Math Examples

$(360 \div 135) \cdot (80 \div 2000)$

Step 1

Rewrite the division as a fraction.

$\frac{360}{135} \cdot 80 \div 2000$

Step 2

Cancel the common factor of $360$ and $135$ .

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Step 2.1

Factor $45$ out of $360$ .

$\frac{45 (8)}{135} \cdot 80 \div 2000$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $45$ out of $135$ .

$\frac{45 \cdot 8}{45 \cdot 3} \cdot 80 \div 2000$

Step 2.2.2

Cancel the common factor.

$\frac{45 \cdot 8}{45 \cdot 3} \cdot 80 \div 2000$

Step 2.2.3

Rewrite the expression.

$\frac{8}{3} \cdot 80 \div 2000$

$\frac{8}{3} \cdot 80 \div 2000$

$\frac{8}{3} \cdot 80 \div 2000$

Step 3

Rewrite the division as a fraction.

$\frac{8}{3} \cdot \frac{80}{2000}$

Step 4

Cancel the common factor of $8$ .

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Step 4.1

Factor $8$ out of $2000$ .

$\frac{8}{3} \cdot \frac{80}{8 (250)}$

Step 4.2

Cancel the common factor.

$\frac{8}{3} \cdot \frac{80}{8 \cdot 250}$

Step 4.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{80}{250}$

$\frac{1}{3} \cdot \frac{80}{250}$

Step 5

Multiply $\frac{1}{3}$ by $\frac{80}{250}$ .

$\frac{80}{3 \cdot 250}$

Step 6

Multiply $3$ by $250$ .

$\frac{80}{750}$

Step 7

Cancel the common factor of $80$ and $750$ .

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Step 7.1

Factor $10$ out of $80$ .

$\frac{10 (8)}{750}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $10$ out of $750$ .

$\frac{10 \cdot 8}{10 \cdot 75}$

Step 7.2.2

Cancel the common factor.

$\frac{10 \cdot 8}{10 \cdot 75}$

Step 7.2.3

Rewrite the expression.

$\frac{8}{75}$

$\frac{8}{75}$

$\frac{8}{75}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{75}$

Decimal Form:

$0.10\overline{6}$

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