Finite Math Examples

$- 8 (\frac{7}{13}) + 8$

Step 1

Simplify each term.

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Multiply $- 8 (\frac{7}{13})$ .

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Combine $- 8$ and $\frac{7}{13}$ .

$\frac{- 8 \cdot 7}{13} + 8$

Multiply $- 8$ by $7$ .

$\frac{- 56}{13} + 8$

Move the negative in front of the fraction.

$- \frac{56}{13} + 8$

Step 2

To write $8$ as a fraction with a common denominator, multiply by $\frac{13}{13}$ .

$- \frac{56}{13} + 8 \cdot \frac{13}{13}$

Step 3

Combine $8$ and $\frac{13}{13}$ .

$- \frac{56}{13} + \frac{8 \cdot 13}{13}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 56 + 8 \cdot 13}{13}$

Step 5

Simplify the numerator.

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Multiply $8$ by $13$ .

$\frac{- 56 + 104}{13}$

Add $- 56$ and $104$ .

$\frac{48}{13}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{48}{13}$

Decimal Form:

$3.\overline{692307}$

Mixed Number Form:

$3 \frac{9}{13}$