Basic Math Examples

$\frac{b - 2 a}{b + a} + \frac{b + 4 a}{b + a}$

Step 1

Combine the numerators over the common denominator.

$\frac{b - 2 a + b + 4 a}{a + b}$

Step 2

Add $b$ and $b$ .

$\frac{- 2 a + 2 b + 4 a}{a + b}$

Step 3

Add $- 2 a$ and $4 a$ .

$\frac{2 a + 2 b}{a + b}$

Step 4

Factor $2$ out of $2 a + 2 b$ .

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Step 4.1

Factor $2$ out of $2 a$ .

$\frac{2 (a) + 2 b}{a + b}$

Step 4.2

Factor $2$ out of $2 b$ .

$\frac{2 (a) + 2 (b)}{a + b}$

Step 4.3

Factor $2$ out of $2 (a) + 2 (b)$ .

$\frac{2 (a + b)}{a + b}$

Step 5

Cancel the common factor of $a + b$ .

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Step 5.1

Cancel the common factor.

$\frac{2 (a + b)}{a + b}$

Step 5.2

Divide $2$ by $1$ .

$2$