Divide (2/3)÷(-1 1/3)

$\frac{2}{3} \div (- 1 \frac{1}{3})$

Step 1

Convert $1 \frac{1}{3}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$\frac{2}{3} \div (- (1 + \frac{1}{3}))$

Add $1$ and $\frac{1}{3}$ .

Write $1$ as a fraction with a common denominator.

$\frac{2}{3} \div (- (\frac{3}{3} + \frac{1}{3}))$

Combine the numerators over the common denominator.

$\frac{2}{3} \div (- \frac{3 + 1}{3})$

Add $3$ and $1$ .

$\frac{2}{3} \div (- \frac{4}{3})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{3} (- \frac{3}{4})$

Step 3

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$\frac{2}{3} \cdot \frac{- 3}{4}$

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 1}{2}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$