Simplify -5/2*(-4/3)

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

Step 1

Cancel the common factor of $2$ .

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

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

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

$\frac{- 5}{2} \cdot \frac{- 4}{3}$

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

$\frac{- 5}{2} \cdot \frac{2 \cdot - 2}{3}$

Rewrite the expression.

$- 5 \cdot \frac{- 2}{3}$

Step 2

Combine $- 5$ and $\frac{- 2}{3}$ .

$\frac{- 5 \cdot - 2}{3}$

Step 3

Multiply $- 5$ by $- 2$ .

$\frac{10}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{3}$

Decimal Form:

$3.\overline{3}$

Mixed Number Form:

$3 \frac{1}{3}$