Algebra Examples

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

Step 1

Combine the opposite terms in $- \frac{4}{5} m + \frac{1}{5} m + \frac{1}{4} n - \frac{1}{4} n$ .

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Step 1.1

Subtract $\frac{1}{4} n$ from $\frac{1}{4} n$ .

$- \frac{4}{5} m + \frac{1}{5} m + 0$

Step 1.2

Add $- \frac{4}{5} m + \frac{1}{5} m$ and $0$ .

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

Step 2

Simplify each term.

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Step 2.1

Combine $m$ and $\frac{4}{5}$ .

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

Step 2.2

Move $4$ to the left of $m$ .

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

Step 2.3

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

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

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

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

Step 3.2

Add $- 4 m$ and $m$ .

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

Step 3.3

Move the negative in front of the fraction.

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