Question

Apply the distributive propertyto create an equivalent expression. 1/2(6e-3f-3/4)

Answer 1

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

multiply each of the terms in the parenthesis by $\frac{1}{2}$

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

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

Answer 2

Answer:

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

Step-by-step explanation:

The given expression is

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

To find an equivalent expression, we need to use the distributive property, that is, we have to multiply $\frac{1}{2}$ with each term that's inside the parenthesis.

$\frac{1}{2}(6e-3f-\frac{3}{4})\\\frac{6e}{2}-\frac{3f}{2}-\frac{3}{2(4)}\\ 3e-\frac{3}{2}f-\frac{3}{8}$

Therefore, the equivalent expression is

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

Remember that when we multiply fractions, we have to do it in a linear way, that is, numerators multiply each other, and denominators multiply each other. That means you CAN'T multiply a numerator with a denominator.