Basic Math Examples

$\frac{0.0345}{1 + \frac{0.0345 \cdot 28}{360}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $28$ and $360$ .

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Step 1.1.1

Factor $4$ out of $0.0345 \cdot 28$ .

$\frac{0.0345}{1 + \frac{4 (0.008625 \cdot 28)}{360}}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $4$ out of $360$ .

$\frac{0.0345}{1 + \frac{4 (0.008625 \cdot 28)}{4 (90)}}$

Step 1.1.2.2

Cancel the common factor.

$\frac{0.0345}{1 + \frac{4 (0.008625 \cdot 28)}{4 \cdot 90}}$

Step 1.1.2.3

Rewrite the expression.

$\frac{0.0345}{1 + \frac{0.008625 \cdot 28}{90}}$

Step 1.2

Cancel the common factor of $28$ and $90$ .

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Step 1.2.1

Factor $2$ out of $0.008625 \cdot 28$ .

$\frac{0.0345}{1 + \frac{2 (0.0043125 \cdot 28)}{90}}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $90$ .

$\frac{0.0345}{1 + \frac{2 (0.0043125 \cdot 28)}{2 (45)}}$

Step 1.2.2.2

Cancel the common factor.

$\frac{0.0345}{1 + \frac{2 (0.0043125 \cdot 28)}{2 \cdot 45}}$

Step 1.2.2.3

Rewrite the expression.

$\frac{0.0345}{1 + \frac{0.0043125 \cdot 28}{45}}$

Step 1.3

Multiply $0.0043125$ by $28$ .

$\frac{0.0345}{1 + \frac{0.12075}{45}}$

Step 2

Simplify the denominator.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{0.0345}{\frac{45}{45} + \frac{0.12075}{45}}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{0.0345}{\frac{45 + 0.12075}{45}}$

Step 2.3

Rewrite $\frac{45 + 0.12075}{45}$ in a factored form.

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Step 2.3.1

Add $45$ and $0.12075$ .

$\frac{0.0345}{\frac{45.12075}{45}}$

Step 2.3.2

Divide $45.12075$ by $45$ .

$\frac{0.0345}{1.00268\overline{3}}$

Step 3

Divide $0.0345$ by $1.00268\overline{3}$ .

$0.03440767$