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?

A9 3/4 inches
B26 3/4 inches
C26 5/12 inches
D9 1/12 inches

Verified Answer :

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

we multiply the lenght by the number:

4 \(\frac{1}{3}\)*5=20+\(\frac{5}{3}\)=21\(\frac{2}{3}\)

and we subtract this from the original pipe, that is

30\(\frac{3}{4}\)-21\(\frac{2}{3}\)

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\(\frac{9}{12}\)-21\(\frac{8}{12}\)=9 \(\frac{1}{12}\)

so the correct answer is D!