Question

A piece of pipe is 303/4 inches long. If five pieces, each 41/3 inches long, are cut from the pipe, how many inches of pipe remain?

A. 9 3/4 inches
B. 26 3/4 inches
C. 26 5/12 inches
D. 9 1/12 inches

Answer 1

so, what is the total lenght of the pieces that wer cut off?

we multiply the lenght by the number:

4
`(1)/(3)`*5=20+
`(5)/(3)`=21
`(2)/(3)`

and we subtract this from the original pipe, that is

30
`(3)/(4)`-21
`(2)/(3)`

we need to bring the two fractions to the same denominator (by multiplying the fraction art in the first by 3 and 4 the second):

30
`(9)/(12)`-21
`(8)/(12)`=9
`(1)/(12)`

so the correct answer is D!