Evaluate -1/5(-2 1/4)

$- \frac{1}{5} (- 2 \frac{1}{4})$

Step 1

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

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

$- \frac{1}{5} \cdot (- (2 + \frac{1}{4}))$

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

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

$- \frac{1}{5} \cdot (- (2 \cdot \frac{4}{4} + \frac{1}{4}))$

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

$- \frac{1}{5} \cdot (- (\frac{2 \cdot 4}{4} + \frac{1}{4}))$

Combine the numerators over the common denominator.

$- \frac{1}{5} \cdot (- \frac{2 \cdot 4 + 1}{4})$

Simplify the numerator.

Multiply $2$ by $4$ .

$- \frac{1}{5} \cdot (- \frac{8 + 1}{4})$

Add $8$ and $1$ .

$- \frac{1}{5} \cdot (- \frac{9}{4})$

Step 2

Multiply $- \frac{1}{5} (- \frac{9}{4})$ .

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{5}) \frac{9}{4}$

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

$\frac{1}{5} \cdot \frac{9}{4}$

Multiply $\frac{1}{5}$ by $\frac{9}{4}$ .

$\frac{9}{5 \cdot 4}$

Multiply $5$ by $4$ .

$\frac{9}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{20}$

Decimal Form:

$0.45$