Finite Math Examples

$- 6 + \frac{- 9 - (6 + 12)}{3} + 25$

Step 1

Add $6$ and $12$ .

$- 6 + \frac{- 9 - 1 \cdot 18}{3} + 25$

Step 2

Multiply $- 1$ by $18$ .

$- 6 + \frac{- 9 - 18}{3} + 25$

Step 3

Subtract $18$ from $- 9$ .

$- 6 + \frac{- 27}{3} + 25$

Step 4

Find the common denominator.

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Step 4.1

Write $- 6$ as a fraction with denominator $1$ .

$\frac{- 6}{1} + \frac{- 27}{3} + 25$

Step 4.2

Multiply $\frac{- 6}{1}$ by $\frac{3}{3}$ .

$\frac{- 6}{1} \cdot \frac{3}{3} + \frac{- 27}{3} + 25$

Step 4.3

Multiply $\frac{- 6}{1}$ by $\frac{3}{3}$ .

$\frac{- 6 \cdot 3}{3} + \frac{- 27}{3} + 25$

Step 4.4

Write $25$ as a fraction with denominator $1$ .

$\frac{- 6 \cdot 3}{3} + \frac{- 27}{3} + \frac{25}{1}$

Step 4.5

Multiply $\frac{25}{1}$ by $\frac{3}{3}$ .

$\frac{- 6 \cdot 3}{3} + \frac{- 27}{3} + \frac{25}{1} \cdot \frac{3}{3}$

Step 4.6

Multiply $\frac{25}{1}$ by $\frac{3}{3}$ .

$\frac{- 6 \cdot 3}{3} + \frac{- 27}{3} + \frac{25 \cdot 3}{3}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 6 \cdot 3 - 27 + 25 \cdot 3}{3}$

Step 6

Simplify each term.

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Step 6.1

Multiply $- 6$ by $3$ .

$\frac{- 18 - 27 + 25 \cdot 3}{3}$

Step 6.2

Multiply $25$ by $3$ .

$\frac{- 18 - 27 + 75}{3}$

Step 7

Simplify the expression.

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Step 7.1

Subtract $27$ from $- 18$ .

$\frac{- 45 + 75}{3}$

Step 7.2

Add $- 45$ and $75$ .

$\frac{30}{3}$

Step 7.3

Divide $30$ by $3$ .

$10$