Fractions word problem: Calculate the remaining pipe length

Question
A piece of pipe 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?

Answer
STEP 1:
The actual length of the piece of pipe is 303/4 inches. We are given a case when five pieces, each measuring 41/3 inches, are cut from this pipe. Before we start working, we will convert the mixed fraction measures into improper fractions for convenience while doing calculations.

convert mixed fraction to improper fraction

Our objective is to find the remaining length of the pipe.

STEP 2:
Let us first try to find the total length of the pipe that has been cut from the original measure. Each piece measures 13/3 inches, and there are five of them. Multiplying 13/3 inches by 5 will give us the length of the pipe been cut.

multiplying fraction 13/3 with 5


STEP 3:
Now that we have found the length of the pipe been cut, we can use it to find the remaining length of the pipe. Subtract 65/2 from 123/4.

subtracting 123/4 with 65/3


STEP 4:
The denominators of the fractions are not the same. To be able to perform the subtraction, we need fractions with like denominators (equivalent fractions). If we multiply the first fraction by 3/3 and the second by 4/4, we can get equivalent fractions. Once the denominators are the same, subtract the numerators keeping the common denominator.

subtracting 123/4 with 65/3


STEP 5:
Since all the measurements in the question are expressed as mixed fractions, you can choose to convert the result into a mixed fraction. Use long division for this purpose.

convert 109/12 to mixed fraction


The length of the piece of pipe that remains is 9 1/12 inches.


Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Fractions Library.

iPod Touch & iPhone
iPad
Graphs & Equations
Algebra
Exponents
Symmetry
Fractions
Measurements
Interest
Angles
Triangles
Useful Resources