Evaluate 2/3-5/6

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

Step 1

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 2

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 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

Multiply $2$ by $2$ .

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

Subtract $5$ from $4$ .

$\frac{- 1}{6}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{6}$

Decimal Form:

$- 0.1\overline{6}$