Simplify 1/2(6e-3f-3/4)

$\frac{1}{2} (6 e - 3 f - \frac{3}{4})$

Step 1

Apply the distributive property.

$\frac{1}{2} (6 e) + \frac{1}{2} (- 3 f) + \frac{1}{2} (- \frac{3}{4})$

Step 2

Simplify.

Cancel the common factor of $2$ .

Factor $2$ out of $6 e$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $\frac{1}{2} (- 3 f)$ .

Combine $- 3$ and $\frac{1}{2}$ .

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

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

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

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

Multiply $\frac{1}{2}$ by $\frac{3}{4}$ .

$3 e + \frac{- 3 f}{2} - \frac{3}{2 \cdot 4}$

Multiply $2$ by $4$ .

$3 e + \frac{- 3 f}{2} - \frac{3}{8}$

Step 3

Move the negative in front of the fraction.

$3 e - \frac{3 f}{2} - \frac{3}{8}$

Step 4

Reorder $3 e$ and $- \frac{3 f}{2}$ .

$- \frac{3 f}{2} + 3 e - \frac{3}{8}$