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

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

Step 1

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{5}$ into the numerator.

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

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$\frac{- 2}{5} \cdot \frac{- 1}{4}$

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $4$ .

$\frac{2 \cdot - 1}{5} \cdot \frac{- 1}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 \cdot - 1}{5} \cdot \frac{- 1}{2 \cdot 2}$

Rewrite the expression.

$\frac{- 1}{5} \cdot \frac{- 1}{2}$

Step 2

Multiply $\frac{- 1}{5}$ by $\frac{- 1}{2}$ .

$\frac{- - 1}{5 \cdot 2}$

Step 3

Multiply.

Multiply $- 1$ by $- 1$ .

$\frac{1}{5 \cdot 2}$

Multiply $5$ by $2$ .

$\frac{1}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$