Finite Math Examples

$\frac{- \frac{1}{3} - 2}{- \frac{1}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(- \frac{1}{3} - 2) (- 1 \cdot 3)$

Step 2

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(- \frac{1}{3} - 2 \cdot \frac{3}{3}) (- 1 \cdot 3)$

Step 3

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

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

Step 4

Combine the numerators over the common denominator.

$\frac{- 1 - 2 \cdot 3}{3} (- 1 \cdot 3)$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 2$ by $3$ .

$\frac{- 1 - 6}{3} (- 1 \cdot 3)$

Step 5.2

Subtract $6$ from $- 1$ .

$\frac{- 7}{3} (- 1 \cdot 3)$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $- 1 \cdot 3$ .

$\frac{- 7}{3} (3 \cdot - 1)$

Step 6.2

Cancel the common factor.

$\frac{- 7}{3} (3 \cdot - 1)$

Step 6.3

Rewrite the expression.

$- 7 \cdot - 1$

Step 7

Multiply $- 7$ by $- 1$ .

$7$