Finite Math Examples

$\frac{\frac{- 8}{7} + \frac{2}{7}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Combine the numerators over the common denominator.

$\frac{\frac{- 8 + 2}{7}}{2}$

Step 1.2

Add $- 8$ and $2$ .

$\frac{\frac{- 6}{7}}{2}$

Step 1.3

Move the negative in front of the fraction.

$\frac{- \frac{6}{7}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- \frac{6}{7} \cdot \frac{1}{2}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Move the leading negative in $- \frac{6}{7}$ into the numerator.

$\frac{- 6}{7} \cdot \frac{1}{2}$

Step 3.2

Factor $2$ out of $- 6$ .

$\frac{2 (- 3)}{7} \cdot \frac{1}{2}$

Step 3.3

Cancel the common factor.

$\frac{2 \cdot - 3}{7} \cdot \frac{1}{2}$

Step 3.4

Rewrite the expression.

$\frac{- 3}{7}$

Step 4

Move the negative in front of the fraction.

$- \frac{3}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{7}$

Decimal Form:

$- 0.\overline{428571}$