A piece of pipe is 30 3/4 inches long. If five pieces, each 4 1/3 inches long, are cut from the pipe, how many inches of pipe remain?

• A. 8 1/2
• B. 9 1/2
• C. 10 1/4
• D. 11

Answer: (B)

To determine how much pipe remains after cutting five pieces, we first need to calculate the total length of pipe that is cut from the original piece.

Each of the five pieces is 4 1/3 inches long. To find the total length of the five pieces, we perform the following multiplication:

5 * (4 1/3).

First, convert 4 1/3 into an improper fraction. This gives us:

4 1/3 = 13/3.

Now we can multiply:

5 * (13/3) = 65/3 inches.

Next, we need to convert this back into a mixed number for ease of understanding:

65 divided by 3 is 21 with a remainder of 2, so:

65/3 = 21 2/3 inches.

Next, we subtract the total length of the pieces cut from the original length of the pipe. The original length is 30 3/4 inches, which can also be converted to an improper fraction:

30 3/4 = 123/4.

We need a common denominator to subtract these fractions. The least common multiple of 4 and 3 is 12, so we convert both fractions:

123/4 =