6. (10 points) For fractions greater than zero, there are the following 4 conclusions: (1) The sum of two proper fractions is a proper fraction; (2) The product of two proper fractions is a proper fraction; (3) The sum of a proper fraction and an improper fraction is an improper fraction; (4) The product of a proper fraction and an improper fraction is an improper fraction. Among these, the correct ones are ( ) in number.
A. 1
B. 2
C. 3
D. 4
【Answer】Solution:
(1) $\frac{1}{2}+\frac{1}{2}=1$, incorrect,
(2) $\frac{7}{8} \times \frac{1}{2}=\frac{7}{16}$ the product of two numbers less than 1 is less than 1, so it is correct,
(3) $\frac{1}{2}+\frac{5}{4}=\frac{7}{4}$, an improper fraction greater than 1, when added to a number, is still greater than 1. Hence, it is correct,
(4) $\frac{1}{2} \times \frac{3}{2}=\frac{3}{4}$, incorrect,

Therefore, the answer is: $B$.