Finite Math Examples

$\frac{- 10 - (- 6)}{10 - 8}$

Step 1

Cancel the common factor of $- 10 - (- 6)$ and $10 - 8$ .

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Step 1.1

Reorder terms.

$\frac{- 10 - 6 \cdot - 1}{10 - 8}$

Step 1.2

Factor $2$ out of $- 10$ .

$\frac{2 (- 5) - 6 \cdot - 1}{10 - 8}$

Step 1.3

Factor $2$ out of $- 6 \cdot - 1$ .

$\frac{2 (- 5) + 2 (- 3 \cdot - 1)}{10 - 8}$

Step 1.4

Factor $2$ out of $2 (- 5) + 2 (- 3 \cdot - 1)$ .

$\frac{2 (- 5 - 3 \cdot - 1)}{10 - 8}$

Step 1.5

Cancel the common factors.

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Step 1.5.1

Factor $2$ out of $10$ .

$\frac{2 (- 5 - 3 \cdot - 1)}{2 \cdot 5 - 8}$

Step 1.5.2

Factor $2$ out of $- 8$ .

$\frac{2 (- 5 - 3 \cdot - 1)}{2 \cdot 5 + 2 \cdot - 4}$

Step 1.5.3

Factor $2$ out of $2 \cdot 5 + 2 \cdot - 4$ .

$\frac{2 (- 5 - 3 \cdot - 1)}{2 \cdot (5 - 4)}$

Step 1.5.4

Cancel the common factor.

$\frac{2 (- 5 - 3 \cdot - 1)}{2 \cdot (5 - 4)}$

Step 1.5.5

Rewrite the expression.

$\frac{- 5 - 3 \cdot - 1}{5 - 4}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $- 3$ by $- 1$ .

$\frac{- 5 + 3}{5 - 4}$

Step 2.2

Add $- 5$ and $3$ .

$\frac{- 2}{5 - 4}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $4$ from $5$ .

$\frac{- 2}{1}$

Step 3.2

Divide $- 2$ by $1$ .

$- 2$