Divide (-3 5/9)÷3

$- 3 \frac{5}{9} \div 3$

Convert $3 \frac{5}{9}$ to an improper fraction.

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

$- (3 + \frac{5}{9}) \div 3$

Add $3$ and $\frac{5}{9}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$- (3 \cdot \frac{9}{9} + \frac{5}{9}) \div 3$

Combine $3$ and $\frac{9}{9}$ .

$- (\frac{3 \cdot 9}{9} + \frac{5}{9}) \div 3$

Combine the numerators over the common denominator.

$- \frac{3 \cdot 9 + 5}{9} \div 3$

Simplify the numerator.

Multiply $3$ by $9$ .

$- \frac{27 + 5}{9} \div 3$

Add $27$ and $5$ .

$- \frac{32}{9} \div 3$

Rewrite the division as a fraction.

$\frac{- \frac{32}{9}}{3}$

Multiply the numerator by the reciprocal of the denominator.

$- \frac{32}{9} \cdot \frac{1}{3}$

Multiply $- \frac{32}{9} \cdot \frac{1}{3}$ .

Multiply $\frac{1}{3}$ by $\frac{32}{9}$ .

$- \frac{32}{3 \cdot 9}$

Multiply $3$ by $9$ .

$- \frac{32}{27}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{32}{27}$

Decimal Form:

$- 1.\overline{185}$

Mixed Number Form:

$- 1 \frac{5}{27}$