A straight pipe 6 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?	Choose the correct choice:
A) 1/6 and 1/4 only	B) 1/4 and 1/3 only	C) 1/6, 1/4, and 1/3	D) 1/12, 1/6 and 1/4	E) 1/12, 1/6, and 1/3
Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.   In this case the branch would be cut at3,4, 6,8, and 9meters (in black are given fourths of the length and in red thirds of the length).   Distinct lengths would be: 3=3/12=1/4, 4-3=1=1/3 meters long pieces.   Answer: 1/4 and 1/3 only.
<result>B</result>
A straight pipe 6 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?