Divide (-1 1/3)÷2 2/5

$- 1 \frac{1}{3} \div 2 \frac{2}{5}$

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

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

$- (1 + \frac{1}{3}) \div 2 \frac{2}{5}$

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

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

$- (\frac{3}{3} + \frac{1}{3}) \div 2 \frac{2}{5}$

Combine the numerators over the common denominator.

$- \frac{3 + 1}{3} \div 2 \frac{2}{5}$

Add $3$ and $1$ .

$- \frac{4}{3} \div 2 \frac{2}{5}$

Convert $2 \frac{2}{5}$ to an improper fraction.

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

$- \frac{4}{3} \div (2 + \frac{2}{5})$

Add $2$ and $\frac{2}{5}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{4}{3} \div (2 \cdot \frac{5}{5} + \frac{2}{5})$

Combine $2$ and $\frac{5}{5}$ .

$- \frac{4}{3} \div (\frac{2 \cdot 5}{5} + \frac{2}{5})$

Combine the numerators over the common denominator.

$- \frac{4}{3} \div \frac{2 \cdot 5 + 2}{5}$

Simplify the numerator.

Multiply $2$ by $5$ .

$- \frac{4}{3} \div \frac{10 + 2}{5}$

Add $10$ and $2$ .

$- \frac{4}{3} \div \frac{12}{5}$

To divide by a fraction, multiply by its reciprocal.

$- \frac{4}{3} \cdot \frac{5}{12}$

Cancel the common factor of $4$ .

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

$\frac{- 4}{3} \cdot \frac{5}{12}$

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{3} \cdot \frac{5}{12}$

Factor $4$ out of $12$ .

$\frac{4 \cdot - 1}{3} \cdot \frac{5}{4 \cdot 3}$

Cancel the common factor.

$\frac{4 \cdot - 1}{3} \cdot \frac{5}{4 \cdot 3}$

Rewrite the expression.

$\frac{- 1}{3} \cdot \frac{5}{3}$

Multiply $\frac{- 1}{3}$ by $\frac{5}{3}$ .

$\frac{- 1 \cdot 5}{3 \cdot 3}$

Multiply $- 1$ by $5$ .

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

Multiply $3$ by $3$ .

$\frac{- 5}{9}$

Move the negative in front of the fraction.

$- \frac{5}{9}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{9}$

Decimal Form:

$- 0.\overline{5}$

Divide (-1 1/3)÷2 2/5

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