Answer:
He used 12.944... yards of pipe for the repiping job.
Step-by-step explanation:
We know that, 1 yard = 3 feet and 1 feet = 12 inches.
That means, 1 yard = (3×12) inches = 36 inches.
So, 1 feet = [tex]\frac{1}{3}[/tex] yard and 1 inch = [tex]\frac{1}{36}[/tex] yard.
Thus, 26 yards, 2 feet and 5 inches [tex]=(26+\frac{2}{3}+\frac{5}{36}) yards = 26.805... yards[/tex]
and 13 yards, 2 feet and 7 inches [tex]=(13+\frac{2}{3}+\frac{7}{36}) yards = 13.861... yards[/tex]
So Austin began a repiping job with 26.805... yards of pipe and when he finshed the job, he had 13.861... yards.
So, the length of the pipe he used for the repiping job will be: [tex](26.805...-13.861...) yards = 12.944... yards[/tex]
