Divide (-3 7/10)÷2 1/4

$- 3 \frac{7}{10} \div 2 \frac{1}{4}$

Convert $3 \frac{7}{10}$ to an improper fraction.

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

$- (3 + \frac{7}{10}) \div 2 \frac{1}{4}$

Add $3$ and $\frac{7}{10}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$- (3 \cdot \frac{10}{10} + \frac{7}{10}) \div 2 \frac{1}{4}$

Combine $3$ and $\frac{10}{10}$ .

$- (\frac{3 \cdot 10}{10} + \frac{7}{10}) \div 2 \frac{1}{4}$

Combine the numerators over the common denominator.

$- \frac{3 \cdot 10 + 7}{10} \div 2 \frac{1}{4}$

Simplify the numerator.

Multiply $3$ by $10$ .

$- \frac{30 + 7}{10} \div 2 \frac{1}{4}$

Add $30$ and $7$ .

$- \frac{37}{10} \div 2 \frac{1}{4}$

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

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

$- \frac{37}{10} \div (2 + \frac{1}{4})$

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

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

$- \frac{37}{10} \div (2 \cdot \frac{4}{4} + \frac{1}{4})$

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

$- \frac{37}{10} \div (\frac{2 \cdot 4}{4} + \frac{1}{4})$

Combine the numerators over the common denominator.

$- \frac{37}{10} \div \frac{2 \cdot 4 + 1}{4}$

Simplify the numerator.

Multiply $2$ by $4$ .

$- \frac{37}{10} \div \frac{8 + 1}{4}$

Add $8$ and $1$ .

$- \frac{37}{10} \div \frac{9}{4}$

To divide by a fraction, multiply by its reciprocal.

$- \frac{37}{10} \cdot \frac{4}{9}$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{37}{10}$ into the numerator.

$\frac{- 37}{10} \cdot \frac{4}{9}$

Factor $2$ out of $10$ .

$\frac{- 37}{2 (5)} \cdot \frac{4}{9}$

Factor $2$ out of $4$ .

$\frac{- 37}{2 \cdot 5} \cdot \frac{2 \cdot 2}{9}$

Cancel the common factor.

$\frac{- 37}{2 \cdot 5} \cdot \frac{2 \cdot 2}{9}$

Rewrite the expression.

$\frac{- 37}{5} \cdot \frac{2}{9}$

Multiply $\frac{- 37}{5}$ by $\frac{2}{9}$ .

$\frac{- 37 \cdot 2}{5 \cdot 9}$

Multiply $- 37$ by $2$ .

$\frac{- 74}{5 \cdot 9}$

Multiply $5$ by $9$ .

$\frac{- 74}{45}$

Move the negative in front of the fraction.

$- \frac{74}{45}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{74}{45}$

Decimal Form:

$- 1.6\overline{4}$

Mixed Number Form:

$- 1 \frac{29}{45}$

Divide (-3 7/10)÷2 1/4

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