Evaluate 1/3-2

$\frac{1}{3} - 2$

Step 1

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

$\frac{1}{3} - 2 \cdot \frac{3}{3}$

Step 2

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

$\frac{1}{3} + \frac{- 2 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

$\frac{1 - 2 \cdot 3}{3}$

Step 4

Simplify the numerator.

Multiply $- 2$ by $3$ .

$\frac{1 - 6}{3}$

Subtract $6$ from $1$ .

$\frac{- 5}{3}$

Step 5

Move the negative in front of the fraction.

$- \frac{5}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{3}$

Decimal Form:

$- 1.\overline{6}$

Mixed Number Form:

$- 1 \frac{2}{3}$