Question

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

Answer 1

3e -
`(3)/(2)` f -
`(3)/(8)`

multiply each of the terms in the parenthesis by
`(1)/(2)`

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

= 3e -
`(3)/(2)` f -
`(3)/(8)`

Answer 2

`3e-(3)/(2)f-(3)/(8)`

Explanation:

The given expression is

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

To find an equivalent expression, we need to use the distributive property, that is, we have to multiply
`(1)/(2)` with each term that's inside the parenthesis.

`(1)/(2)(6e-3f-(3)/(4))\\(6e)/(2)-(3f)/(2)-(3)/(2(4))\\ 3e-(3)/(2)f-(3)/(8)`

Therefore, the equivalent expression is

`3e-(3)/(2)f-(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.