Evaluate -2/3-5/6

$\frac{- 2}{3} - \frac{5}{6}$

Step 1

Move the negative in front of the fraction.

$- \frac{2}{3} - \frac{5}{6}$

Step 2

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

$- \frac{2}{3} \cdot \frac{2}{2} - \frac{5}{6}$

Step 3

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

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

$- \frac{2 \cdot 2}{3 \cdot 2} - \frac{5}{6}$

Multiply $3$ by $2$ .

$- \frac{2 \cdot 2}{6} - \frac{5}{6}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 2 \cdot 2 - 5}{6}$

Step 5

Simplify the numerator.

Multiply $- 2$ by $2$ .

$\frac{- 4 - 5}{6}$

Subtract $5$ from $- 4$ .

$\frac{- 9}{6}$

Step 6

Cancel the common factor of $- 9$ and $6$ .

Factor $3$ out of $- 9$ .

$\frac{3 (- 3)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$\frac{3 \cdot - 3}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \cdot - 3}{3 \cdot 2}$

Rewrite the expression.

$\frac{- 3}{2}$

Step 7

Move the negative in front of the fraction.

$- \frac{3}{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

$- 1 \frac{1}{2}$