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

Combine the numerators over the common denominator.

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

Step 1.3

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

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

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

Step 3.2

Multiply $2$ by $- 2$ .

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

Step 4

Add $- 4$ and $3$ .

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