Answer:
C.
Step-by-step explanation:
The right question is
Which expression shows the result of applying the distributive property to 1/4(−3n+3/2) ?
A.3/4n−3/8
B.3/4n+3/8
C.−3/4n+38
D. −3/4n−3/8
The given expression is
[tex]\frac{1}{4}(-3n+\frac{3}{2})[/tex]
To apply the distributive property, we just have to "distribute" the factor [tex]\frac{1}{4}[/tex] to each term inside of the parenthesis, as follows
[tex]\frac{1}{4}(-3n+\frac{3}{2})=\frac{1}{4}(-3n)+\frac{1}{4}(\frac{3}{2})\\-\frac{3}{4}n+\frac{3}{8}[/tex]
(Remember that when we multiply fractions, we do it linear, that is, numerator multiplies numerator and denominator multiplies denominator)
Therefore, the equivalent expression is
[tex]-\frac{3}{4}n+\frac{3}{8}[/tex]
So, the answer is C.
