Find the Exact Value -2/3a+5/6a-1/6

$- \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6}$

Simplify each term.

Combine $a$ and $\frac{2}{3}$ .

$- \frac{a \cdot 2}{3} + \frac{5}{6} a - \frac{1}{6}$

Move $2$ to the left of $a$ .

$- \frac{2 \cdot a}{3} + \frac{5}{6} a - \frac{1}{6}$

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

$- \frac{2 a}{3} + \frac{5 a}{6} - \frac{1}{6}$

To write $- \frac{2 a}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{2 a}{3} \cdot \frac{2}{2} + \frac{5 a}{6} - \frac{1}{6}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2 a}{3}$ by $\frac{2}{2}$ .

$- \frac{2 a \cdot 2}{3 \cdot 2} + \frac{5 a}{6} - \frac{1}{6}$

Multiply $3$ by $2$ .

$- \frac{2 a \cdot 2}{6} + \frac{5 a}{6} - \frac{1}{6}$

Combine the numerators over the common denominator.

$\frac{- 2 a \cdot 2 + 5 a}{6} - \frac{1}{6}$

Combine the numerators over the common denominator.

$\frac{- 2 a \cdot 2 + 5 a - 1}{6}$

Multiply $2$ by $- 2$ .

$\frac{- 4 a + 5 a - 1}{6}$

Add $- 4 a$ and $5 a$ .

$\frac{a - 1}{6}$