Algebra Examples

$\frac{2}{5} m - \frac{4}{5} - \frac{3}{5} m$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{2}{5}$ and $m$ .

$\frac{2 m}{5} - \frac{4}{5} - \frac{3}{5} m$

Step 1.2

Combine $m$ and $\frac{3}{5}$ .

$\frac{2 m}{5} - \frac{4}{5} - \frac{m \cdot 3}{5}$

Step 1.3

Move $3$ to the left of $m$ .

$\frac{2 m}{5} - \frac{4}{5} - \frac{3 m}{5}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{2 m - 4 - 3 m}{5}$

Step 2.2

Subtract $3 m$ from $2 m$ .

$\frac{- m - 4}{5}$

Step 2.3

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

$\frac{- (m) - 4}{5}$

Step 2.4

Rewrite $- 4$ as $- 1 (4)$ .

$\frac{- (m) - 1 (4)}{5}$

Step 2.5

Factor $- 1$ out of $- (m) - 1 (4)$ .

$\frac{- (m + 4)}{5}$

Step 2.6

Simplify the expression.

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Step 2.6.1

Rewrite $- (m + 4)$ as $- 1 (m + 4)$ .

$\frac{- 1 (m + 4)}{5}$

Step 2.6.2

Move the negative in front of the fraction.

$- \frac{m + 4}{5}$