Final answer:
To factor out the coefficient of the variable term, find the greatest common divisor of the numerator and denominator. The factored form of the expression 15/4 + 3/8x is 15/4 + 3/8x.
Step-by-step explanation:
To factor out the coefficient of the variable term, we need to find the common factor between the numerator and the denominator. The coefficient of the variable term is 3/8. To find the common factor, we need to find the greatest common divisor (GCD) of 3 and 8.
The GCD of 3 and 8 is 1. So, we can factor out 1 from the numerator and the denominator.
The factored form of the expression 15/4 + 3/8x is 1 * (15/4) + (1/8) * 3x, which simplifies to 15/4 + 3/8x.