Simplify 5/6a+3/10a+1/6a+7/10a

$\frac{5}{6} a + \frac{3}{10} a + \frac{1}{6} a + \frac{7}{10} a$

Simplify each term.

Combine $\frac{5}{6}$ and $a$ .

$\frac{5 a}{6} + \frac{3}{10} a + \frac{1}{6} a + \frac{7}{10} a$

Combine $\frac{3}{10}$ and $a$ .

$\frac{5 a}{6} + \frac{3 a}{10} + \frac{1}{6} a + \frac{7}{10} a$

Combine $\frac{1}{6}$ and $a$ .

$\frac{5 a}{6} + \frac{3 a}{10} + \frac{a}{6} + \frac{7}{10} a$

Combine $\frac{7}{10}$ and $a$ .

$\frac{5 a}{6} + \frac{3 a}{10} + \frac{a}{6} + \frac{7 a}{10}$

Simplify terms.

Combine the numerators over the common denominator.

$\frac{5 a + a}{6} + \frac{3 a + 7 a}{10}$

Add $5 a$ and $a$ .

$\frac{6 a}{6} + \frac{3 a + 7 a}{10}$

Add $3 a$ and $7 a$ .

$\frac{6 a}{6} + \frac{10 a}{10}$

Simplify each term.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 a}{6} + \frac{10 a}{10}$

Divide $a$ by $1$ .

$a + \frac{10 a}{10}$

Cancel the common factor of $10$ .

Cancel the common factor.

$a + \frac{10 a}{10}$

Divide $a$ by $1$ .

$a + a$

Add $a$ and $a$ .

$2 a$