Basic Math Examples

$\frac{2 %}{100 % - 2 %} \cdot \frac{360}{90 - 10}$

Step 1

Convert $2 %$ to a decimal.

$\frac{0.02}{100 % - 2 %} \cdot \frac{360}{90 - 10}$

Step 2

Simplify the denominator.

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Step 2.1

Convert $100 %$ to a decimal.

$\frac{0.02}{1 - 2 %} \cdot \frac{360}{90 - 10}$

Step 2.2

Convert $2 %$ to a decimal.

$\frac{0.02}{1 - 1 \cdot 0.02} \cdot \frac{360}{90 - 10}$

Step 2.3

Multiply $- 1$ by $0.02$ .

$\frac{0.02}{1 - 0.02} \cdot \frac{360}{90 - 10}$

Step 2.4

Subtract $0.02$ from $1$ .

$\frac{0.02}{0.98} \cdot \frac{360}{90 - 10}$

Step 3

Simplify terms.

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Step 3.1

Subtract $10$ from $90$ .

$\frac{0.02}{0.98} \cdot \frac{360}{80}$

Step 3.2

Cancel the common factor of $0.02$ .

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Step 3.2.1

Factor $0.02$ out of $80$ .

$\frac{0.02}{0.98} \cdot \frac{360}{0.02 (4000)}$

Step 3.2.2

Cancel the common factor.

$\frac{0.02}{0.98} \cdot \frac{360}{0.02 \cdot 4000}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{0.98} \cdot \frac{360}{4000}$

Step 3.3

Multiply $\frac{1}{0.98}$ by $\frac{360}{4000}$ .

$\frac{360}{0.98 \cdot 4000}$

Step 3.4

Multiply $0.98$ by $4000$ .

$\frac{360}{3920}$

Step 3.5

Cancel the common factor of $360$ and $3920$ .

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Step 3.5.1

Factor $40$ out of $360$ .

$\frac{40 (9)}{3920}$

Step 3.5.2

Cancel the common factors.

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Step 3.5.2.1

Factor $40$ out of $3920$ .

$\frac{40 \cdot 9}{40 \cdot 98}$

Step 3.5.2.2

Cancel the common factor.

$\frac{40 \cdot 9}{40 \cdot 98}$

Step 3.5.2.3

Rewrite the expression.

$\frac{9}{98}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{98}$

Decimal Form:

$0.09183673 \dots$