Divide (-3 1/2)÷2 1/3

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

Convert $3 \frac{1}{2}$ to an improper fraction.

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

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

Add $3$ and $\frac{1}{2}$ .

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $3$ by $2$ .

$- \frac{6 + 1}{2} \div 2 \frac{1}{3}$

Add $6$ and $1$ .

$- \frac{7}{2} \div 2 \frac{1}{3}$

Convert $2 \frac{1}{3}$ to an improper fraction.

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

$- \frac{7}{2} \div (2 + \frac{1}{3})$

Add $2$ and $\frac{1}{3}$ .

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

$- \frac{7}{2} \div (2 \cdot \frac{3}{3} + \frac{1}{3})$

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

$- \frac{7}{2} \div (\frac{2 \cdot 3}{3} + \frac{1}{3})$

Combine the numerators over the common denominator.

$- \frac{7}{2} \div \frac{2 \cdot 3 + 1}{3}$

Simplify the numerator.

Multiply $2$ by $3$ .

$- \frac{7}{2} \div \frac{6 + 1}{3}$

Add $6$ and $1$ .

$- \frac{7}{2} \div \frac{7}{3}$

To divide by a fraction, multiply by its reciprocal.

$- \frac{7}{2} \cdot \frac{3}{7}$

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{7}{2}$ into the numerator.

$\frac{- 7}{2} \cdot \frac{3}{7}$

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{2} \cdot \frac{3}{7}$

Cancel the common factor.

$\frac{7 \cdot - 1}{2} \cdot \frac{3}{7}$

Rewrite the expression.

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

Combine $\frac{- 1}{2}$ and $3$ .

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

Multiply $- 1$ by $3$ .

$\frac{- 3}{2}$

Move the negative in front of the fraction.

$- \frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

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

Divide (-3 1/2)÷2 1/3

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