Evaluate Using the Given Value Evaluate (3x+2y)/(2xy) when x=-1 and y=1

Evaluate $\frac{3 x + 2 y}{2 x y}$ when $x = - 1$ and $y = 1$

Replace the variable $x$ with $- 1$ in the expression.

$\frac{3 (- 1) + 2 y}{2 (- 1) \cdot y}$

Replace the variable $y$ with $1$ in the expression.

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

Simplify the numerator.

Multiply $3$ by $- 1$ .

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

Multiply $2$ by $1$ .

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

Add $- 3$ and $2$ .

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

Simplify the denominator.

Multiply $2$ by $- 1$ .

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

Multiply $- 2$ by $1$ .

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

Dividing two negative values results in a positive value.

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$