Factor the expression completely
1/4x+15/4
A.1/4(x+15)
B.1/2(1/2x+15/2
C.3/4(x+3)
D.1/4(x+7/2)
To factor the expression 1/4x + 15/4 completely, we need to find any common factors that can be factored out from both terms.
First, look for a common factor in the numerator. In this case, there isn't a common factor between 1 and 15.
Next, look for a common factor in the denominator. Both terms have the number 4 as the denominator, so we can factor out 1/4.
Factoring out 1/4 from both terms, we get:
(1/4)x + (15/4)
Now, divide both terms by 1/4:
(1/4)(1/4)x + (1/4)(15/4)
This simplifies to:
1/16x + 15/16
Therefore, the factored expression is 1/16x + 15/16.
None of the options A, B, C, or D match the factored expression we obtained.