Finite Math Examples

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

Step 1

Remove parentheses.

$- 2 m + 4 m - \frac{1}{3} m - m$

Step 2

Add $- 2 m$ and $4 m$ .

$2 m - \frac{1}{3} m - m$

Step 3

Subtract $m$ from $2 m$ .

$- \frac{1}{3} m + m$

Step 4

Factor $- m$ out of $- \frac{1}{3} m + m$ .

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Step 4.1

Move $\frac{1}{3}$ .

$- 1 m \frac{1}{3} + m$

Step 4.2

Rewrite $m$ as $1 m$ .

$- 1 m (\frac{1}{3}) + 1 m$

Step 4.3

Factor $- m$ out of $1 m$ .

$- 1 m (\frac{1}{3}) - m (- 1)$

Step 4.4

Factor $- 1 m$ out of $- 1 m (\frac{1}{3}) - m (- 1)$ .

$- 1 m (\frac{1}{3} - 1)$

Step 5

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- 1 m (\frac{1}{3} - 1 \cdot \frac{3}{3})$

Step 6

Combine $- 1$ and $\frac{3}{3}$ .

$- 1 m (\frac{1}{3} + \frac{- 1 \cdot 3}{3})$

Step 7

Combine the numerators over the common denominator.

$- 1 m \frac{1 - 1 \cdot 3}{3}$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $- 1$ by $3$ .

$- 1 m \frac{1 - 3}{3}$

Step 8.2

Subtract $3$ from $1$ .

$- 1 m \frac{- 2}{3}$

Step 9

Factor.

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Step 9.1

Move the negative in front of the fraction.

$- 1 m (- \frac{2}{3})$

Step 9.2

Remove unnecessary parentheses.

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

Step 10

Combine exponents.

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Step 10.1

Factor out negative.

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

Step 10.2

Combine $m$ and $\frac{2}{3}$ .

$- - \frac{m \cdot 2}{3}$

Step 10.3

Multiply $- 1$ by $- 1$ .

$1 \frac{m \cdot 2}{3}$

Step 10.4

Multiply $\frac{m \cdot 2}{3}$ by $1$ .

$\frac{m \cdot 2}{3}$