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Mathematics
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Practical Problems in Mathematics for Heating and Cooling Technicians
Quiz 6: Addition of Common Fractions
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Question 1
Short Answer
A piece of ducting must be custom-made. It must fill a gap that measures 26 11/16 inches long. In addition, one end of the duct must also fit into the next peice of ducting which measures 1 7/8 inches long. What is the total length this peice of ducting must be in inches?
Question 2
Short Answer
Solve and reduce all answers to lowest terms: 2 1/8 + 3 1/4 + 4 + 5/8 =
Question 3
Short Answer
Solve and reduce all answers to lowest terms: 5 3/5 pounds + 4 1/4 pounds + 3 3/10 pounds =
Question 4
Short Answer
Solve and reduce all answers to lowest terms: 5 1/2" + 3 1/4" + 1 1/2" + 1 1/8" + 5/8" + 3/8" =
Question 5
Short Answer
A technician had to work on a single job on five different days. On Monday, 5 3/4 hours were spent on the job; Tuesday 5 1/2 hours were spent on the job; Wednesday 6 1/4 hours were spent on the job; Thursday 5 3/4 hours were spent on the job; and Friday 5 1/4 hours were spent on the job. What was the total time spent on the job in hours and factional hours.
Question 6
True/False
Examples of common fractions include 1/2, 3/4, and 5/6.
Question 7
Short Answer
A defensive section of a soft copper tubing must be replaced. A 19 3/16-inch section is cut out. The tube to replace the defective section will overlap 3/8 inch at each end. How many inches long is the piece of new tubing?