Finite Math Examples

$8 (\frac{3}{11}) - 6 (2 (\frac{3}{11}) + 1)$

Step 1

Simplify each term.

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Step 1.1

Multiply $8 (\frac{3}{11})$ .

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Step 1.1.1

Combine $8$ and $\frac{3}{11}$ .

$\frac{8 \cdot 3}{11} - 6 (2 (\frac{3}{11}) + 1)$

Step 1.1.2

Multiply $8$ by $3$ .

$\frac{24}{11} - 6 (2 (\frac{3}{11}) + 1)$

Step 1.2

Multiply $2 (\frac{3}{11})$ .

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Step 1.2.1

Combine $2$ and $\frac{3}{11}$ .

$\frac{24}{11} - 6 (\frac{2 \cdot 3}{11} + 1)$

Step 1.2.2

Multiply $2$ by $3$ .

$\frac{24}{11} - 6 (\frac{6}{11} + 1)$

Step 1.3

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

$\frac{24}{11} - 6 (\frac{6}{11} + \frac{11}{11})$

Step 1.4

Combine the numerators over the common denominator.

$\frac{24}{11} - 6 \frac{6 + 11}{11}$

Step 1.5

Add $6$ and $11$ .

$\frac{24}{11} - 6 (\frac{17}{11})$

Step 1.6

Multiply $- 6 (\frac{17}{11})$ .

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Step 1.6.1

Combine $- 6$ and $\frac{17}{11}$ .

$\frac{24}{11} + \frac{- 6 \cdot 17}{11}$

Step 1.6.2

Multiply $- 6$ by $17$ .

$\frac{24}{11} + \frac{- 102}{11}$

Step 1.7

Move the negative in front of the fraction.

$\frac{24}{11} - \frac{102}{11}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{24 - 102}{11}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $102$ from $24$ .

$\frac{- 78}{11}$

Step 2.2.2

Move the negative in front of the fraction.

$- \frac{78}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{78}{11}$

Decimal Form:

$- 7.\overline{09}$

Mixed Number Form:

$- 7 \frac{1}{11}$