Finite Math Examples

$\frac{\frac{11}{3}}{1 - \frac{11}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{11}{3} \cdot \frac{1}{1 - \frac{11}{3}}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{11}{3} \cdot \frac{1}{\frac{3}{3} - \frac{11}{3}}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{11}{3} \cdot \frac{1}{\frac{3 - 11}{3}}$

Step 2.3

Subtract $11$ from $3$ .

$\frac{11}{3} \cdot \frac{1}{\frac{- 8}{3}}$

Step 2.4

Move the negative in front of the fraction.

$\frac{11}{3} \cdot \frac{1}{- \frac{8}{3}}$

Step 3

Cancel the common factor of $1$ and $- 1$ .

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Step 3.1

Rewrite $1$ as $- 1 (- 1)$ .

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

Step 3.2

Move the negative in front of the fraction.

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

Step 4

Multiply the numerator by the reciprocal of the denominator.

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

Step 5

Multiply $\frac{3}{8}$ by $1$ .

$\frac{11}{3} (- \frac{3}{8})$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Move the leading negative in $- \frac{3}{8}$ into the numerator.

$\frac{11}{3} \cdot \frac{- 3}{8}$

Step 6.2

Factor $3$ out of $- 3$ .

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

Step 6.3

Cancel the common factor.

$\frac{11}{3} \cdot \frac{3 \cdot - 1}{8}$

Step 6.4

Rewrite the expression.

$11 (\frac{- 1}{8})$

Step 7

Combine $11$ and $\frac{- 1}{8}$ .

$\frac{11 \cdot - 1}{8}$

Step 8

Simplify the expression.

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Step 8.1

Multiply $11$ by $- 1$ .

$\frac{- 11}{8}$

Step 8.2

Move the negative in front of the fraction.

$- \frac{11}{8}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{8}$

Decimal Form:

$- 1.375$

Mixed Number Form:

$- 1 \frac{3}{8}$