Evaluate (-1 2/5)(-2 3/4)

$(- 1 \frac{2}{5}) (- 2 \frac{3}{4})$

Convert $1 \frac{2}{5}$ to an improper fraction.

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

$- (1 + \frac{2}{5}) (- 2 \frac{3}{4})$

Add $1$ and $\frac{2}{5}$ .

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

$- (\frac{5}{5} + \frac{2}{5}) (- 2 \frac{3}{4})$

Combine the numerators over the common denominator.

$- \frac{5 + 2}{5} (- 2 \frac{3}{4})$

Add $5$ and $2$ .

$- \frac{7}{5} (- 2 \frac{3}{4})$

Convert $2 \frac{3}{4}$ to an improper fraction.

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

$- \frac{7}{5} (- (2 + \frac{3}{4}))$

Add $2$ and $\frac{3}{4}$ .

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

$- \frac{7}{5} (- (2 \cdot \frac{4}{4} + \frac{3}{4}))$

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

$- \frac{7}{5} (- (\frac{2 \cdot 4}{4} + \frac{3}{4}))$

Combine the numerators over the common denominator.

$- \frac{7}{5} (- \frac{2 \cdot 4 + 3}{4})$

Simplify the numerator.

Multiply $2$ by $4$ .

$- \frac{7}{5} (- \frac{8 + 3}{4})$

Add $8$ and $3$ .

$- \frac{7}{5} (- \frac{11}{4})$

Multiply $- \frac{7}{5} (- \frac{11}{4})$ .

Multiply $- 1$ by $- 1$ .

$1 (\frac{7}{5}) \frac{11}{4}$

Multiply $\frac{7}{5}$ by $1$ .

$\frac{7}{5} \cdot \frac{11}{4}$

Multiply $\frac{7}{5}$ by $\frac{11}{4}$ .

$\frac{7 \cdot 11}{5 \cdot 4}$

Multiply $7$ by $11$ .

$\frac{77}{5 \cdot 4}$

Multiply $5$ by $4$ .

$\frac{77}{20}$

The result can be shown in multiple forms.

Exact Form:

$\frac{77}{20}$

Decimal Form:

$3.85$

Mixed Number Form:

$3 \frac{17}{20}$