Finite Math Examples

$\frac{300}{3} - 50 - 20 - \frac{30}{3}$

Step 1

Combine the numerators over the common denominator.

$- 50 - 20 + \frac{300 - 30}{3}$

Step 2

Subtract $30$ from $300$ .

$- 50 - 20 + \frac{270}{3}$

Step 3

Find the common denominator.

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Step 3.1

Write $- 50$ as a fraction with denominator $1$ .

$\frac{- 50}{1} - 20 + \frac{270}{3}$

Step 3.2

Multiply $\frac{- 50}{1}$ by $\frac{3}{3}$ .

$\frac{- 50}{1} \cdot \frac{3}{3} - 20 + \frac{270}{3}$

Step 3.3

Multiply $\frac{- 50}{1}$ by $\frac{3}{3}$ .

$\frac{- 50 \cdot 3}{3} - 20 + \frac{270}{3}$

Step 3.4

Write $- 20$ as a fraction with denominator $1$ .

$\frac{- 50 \cdot 3}{3} + \frac{- 20}{1} + \frac{270}{3}$

Step 3.5

Multiply $\frac{- 20}{1}$ by $\frac{3}{3}$ .

$\frac{- 50 \cdot 3}{3} + \frac{- 20}{1} \cdot \frac{3}{3} + \frac{270}{3}$

Step 3.6

Multiply $\frac{- 20}{1}$ by $\frac{3}{3}$ .

$\frac{- 50 \cdot 3}{3} + \frac{- 20 \cdot 3}{3} + \frac{270}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 50 \cdot 3 - 20 \cdot 3 + 270}{3}$

Step 5

Simplify each term.

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Step 5.1

Multiply $- 50$ by $3$ .

$\frac{- 150 - 20 \cdot 3 + 270}{3}$

Step 5.2

Multiply $- 20$ by $3$ .

$\frac{- 150 - 60 + 270}{3}$

Step 6

Simplify the expression.

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Step 6.1

Subtract $60$ from $- 150$ .

$\frac{- 210 + 270}{3}$

Step 6.2

Add $- 210$ and $270$ .

$\frac{60}{3}$

Step 6.3

Divide $60$ by $3$ .

$20$