Evaluate (4 1/2)(-3 3/10)

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $4$ by $2$ .

$\frac{8 + 1}{2} (- 3 \frac{3}{10})$

Add $8$ and $1$ .

$\frac{9}{2} (- 3 \frac{3}{10})$

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

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

$\frac{9}{2} (- (3 + \frac{3}{10}))$

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

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

$\frac{9}{2} (- (3 \cdot \frac{10}{10} + \frac{3}{10}))$

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

$\frac{9}{2} (- (\frac{3 \cdot 10}{10} + \frac{3}{10}))$

Combine the numerators over the common denominator.

$\frac{9}{2} (- \frac{3 \cdot 10 + 3}{10})$

Simplify the numerator.

Multiply $3$ by $10$ .

$\frac{9}{2} (- \frac{30 + 3}{10})$

Add $30$ and $3$ .

$\frac{9}{2} (- \frac{33}{10})$

Multiply $\frac{9}{2} (- \frac{33}{10})$ .

Multiply $\frac{9}{2}$ by $\frac{33}{10}$ .

$- \frac{9 \cdot 33}{2 \cdot 10}$

Multiply $9$ by $33$ .

$- \frac{297}{2 \cdot 10}$

Multiply $2$ by $10$ .

$- \frac{297}{20}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{297}{20}$

Decimal Form:

$- 14.85$

Mixed Number Form:

$- 14 \frac{17}{20}$