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 3

Split the fraction $\frac{- m - 4}{5}$ into two fractions.

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

Step 4

Simplify each term.

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Step 4.1

Move the negative in front of the fraction.

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

Step 4.2

Move the negative in front of the fraction.

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

Step 5

Reorder terms.

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

Step 6

Remove parentheses.

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