Simplify -5/2(2x-4y)

$- \frac{5}{2} (2 x - 4 y)$

Apply the distributive property.

$- \frac{5}{2} (2 x) - \frac{5}{2} (- 4 y)$

Cancel the common factor of $2$ .

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

$\frac{- 5}{2} (2 x) - \frac{5}{2} (- 4 y)$

Factor $2$ out of $2 x$ .

$\frac{- 5}{2} (2 (x)) - \frac{5}{2} (- 4 y)$

Cancel the common factor.

$\frac{- 5}{2} (2 x) - \frac{5}{2} (- 4 y)$

Rewrite the expression.

$- 5 x - \frac{5}{2} (- 4 y)$

Cancel the common factor of $2$ .

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

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

Factor $2$ out of $- 4 y$ .

$- 5 x + \frac{- 5}{2} (2 (- 2 y))$

Cancel the common factor.

$- 5 x + \frac{- 5}{2} (2 (- 2 y))$

Rewrite the expression.

$- 5 x - 5 (- 2 y)$

Multiply $- 2$ by $- 5$ .

$- 5 x + 10 y$