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

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

Step 1

Convert $1 \frac{1}{3}$ to an improper fraction.

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

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

Add $1$ and $\frac{1}{3}$ .

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

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

Combine the numerators over the common denominator.

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

Add $3$ and $1$ .

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

Step 2

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{3}{5}$ into the numerator.

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

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- 3}{5} \cdot \frac{- 4}{3}$

Factor $3$ out of $- 3$ .

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

Cancel the common factor.

$\frac{3 \cdot - 1}{5} \cdot \frac{- 4}{3}$

Rewrite the expression.

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

Step 3

Combine $\frac{- 1}{5}$ and $- 4$ .

$\frac{- - 4}{5}$

Step 4

Multiply $- 1$ by $- 4$ .

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$