Divide (-2 1/4)÷(-1 1/2)

$- 2 \frac{1}{4} \div (- 1 \frac{1}{2})$

Convert $2 \frac{1}{4}$ to an improper fraction.

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

$- (2 + \frac{1}{4}) \div (- 1 \frac{1}{2})$

Add $2$ and $\frac{1}{4}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- (2 \cdot \frac{4}{4} + \frac{1}{4}) \div (- 1 \frac{1}{2})$

Combine $2$ and $\frac{4}{4}$ .

$- (\frac{2 \cdot 4}{4} + \frac{1}{4}) \div (- 1 \frac{1}{2})$

Combine the numerators over the common denominator.

$- \frac{2 \cdot 4 + 1}{4} \div (- 1 \frac{1}{2})$

Simplify the numerator.

Multiply $2$ by $4$ .

$- \frac{8 + 1}{4} \div (- 1 \frac{1}{2})$

Add $8$ and $1$ .

$- \frac{9}{4} \div (- 1 \frac{1}{2})$

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

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

$- \frac{9}{4} \div (- (1 + \frac{1}{2}))$

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

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

$- \frac{9}{4} \div (- (\frac{2}{2} + \frac{1}{2}))$

Combine the numerators over the common denominator.

$- \frac{9}{4} \div (- \frac{2 + 1}{2})$

Add $2$ and $1$ .

$- \frac{9}{4} \div (- \frac{3}{2})$

To divide by a fraction, multiply by its reciprocal.

$- \frac{9}{4} (- \frac{2}{3})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{9}{4}$ into the numerator.

$\frac{- 9}{4} (- \frac{2}{3})$

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$\frac{- 9}{4} \cdot \frac{- 2}{3}$

Factor $3$ out of $- 9$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply $- 3$ by $- 1$ .

$\frac{3}{2}$

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 (-2 1/4)÷(-1 1/2)

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