Finite Math Examples

$\frac{47}{10} + 0.11549622 (\frac{776}{10})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $776$ and $10$ .

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Step 1.1.1

Factor $2$ out of $776$ .

$\frac{47}{10} + 0.11549622 \frac{2 (388)}{10}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $10$ .

$\frac{47}{10} + 0.11549622 \frac{2 \cdot 388}{2 \cdot 5}$

Step 1.1.2.2

Cancel the common factor.

$\frac{47}{10} + 0.11549622 \frac{2 \cdot 388}{2 \cdot 5}$

Step 1.1.2.3

Rewrite the expression.

$\frac{47}{10} + 0.11549622 (\frac{388}{5})$

Step 1.2

Multiply $0.11549622 (\frac{388}{5})$ .

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Step 1.2.1

Combine $0.11549622$ and $\frac{388}{5}$ .

$\frac{47}{10} + \frac{0.11549622 \cdot 388}{5}$

Step 1.2.2

Multiply $0.11549622$ by $388$ .

$\frac{47}{10} + \frac{44.8125\overline{3}}{5}$

Step 1.3

Divide $44.8125\overline{3}$ by $5$ .

$\frac{47}{10} + 8.96250667$

Step 2

To write $8.96250667$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{47}{10} + 8.96250667 \cdot \frac{10}{10}$

Step 3

Combine fractions.

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Step 3.1

Combine $8.96250667$ and $\frac{10}{10}$ .

$\frac{47}{10} + \frac{8.96250667 \cdot 10}{10}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{47 + 8.96250667 \cdot 10}{10}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $8.96250667$ by $10$ .

$\frac{47 + 89.62506672}{10}$

Step 4.2

Add $47$ and $89.62506672$ .

$\frac{136.62506672}{10}$

Step 5

Divide $136.62506672$ by $10$ .

$13.66250667$