Algebra Examples

$2 (\frac{1}{5} m - \frac{2}{5}) + \frac{3}{5}$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{1}{5}$ and $m$ .

$2 (\frac{m}{5} - \frac{2}{5}) + \frac{3}{5}$

Step 1.2

Apply the distributive property.

$2 \frac{m}{5} + 2 (- \frac{2}{5}) + \frac{3}{5}$

Step 1.3

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

$\frac{2 m}{5} + 2 (- \frac{2}{5}) + \frac{3}{5}$

Step 1.4

Multiply $2 (- \frac{2}{5})$ .

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Step 1.4.1

Multiply $- 1$ by $2$ .

$\frac{2 m}{5} - 2 (\frac{2}{5}) + \frac{3}{5}$

Step 1.4.2

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

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

Step 1.4.3

Multiply $- 2$ by $2$ .

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

Step 1.5

Move the negative in front of the fraction.

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Add $- 4$ and $3$ .

$\frac{2 m - 1}{5}$