Simplify a+a/5+2/5a

$a + \frac{a}{5} + \frac{2}{5} a$

Step 1

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

$a + \frac{a}{5} + \frac{2 a}{5}$

Step 2

Combine the numerators over the common denominator.

$a + \frac{a + 2 a}{5}$

Step 3

Add $a$ and $2 a$ .

$a + \frac{3 a}{5}$

Step 4

To write $a$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$a \cdot \frac{5}{5} + \frac{3 a}{5}$

Step 5

Simplify terms.

Combine $a$ and $\frac{5}{5}$ .

$\frac{a \cdot 5}{5} + \frac{3 a}{5}$

Combine the numerators over the common denominator.

$\frac{a \cdot 5 + 3 a}{5}$

Step 6

Simplify the numerator.

Move $5$ to the left of $a$ .

$\frac{5 \cdot a + 3 a}{5}$

Add $5 a$ and $3 a$ .

$\frac{8 a}{5}$