• Home
  • Textbooks
  • Practical Problems in Mathematics for Heating and Cooling Technicians (Applied Mathematics)
  • Division of Common Fractions

Practical Problems in Mathematics for Heating and Cooling Technicians (Applied Mathematics)

Russell B. DeVore

Chapter 9

Division of Common Fractions - all with Video Answers

Educators


Chapter Questions

Problem 1

In problems 1–11, divide the fractions and mixed numbers.
$2 / 5 \div 7 / 9$

Check back soon!

Problem 2

In problems 1–11, divide the fractions and mixed numbers.
$3^{1 / 5} \div 4 / 7$

Check back soon!

Problem 3

In problems 1–11, divide the fractions and mixed numbers.
$3 \div 1 \frac{2}{3}$

Check back soon!

Problem 4

In problems 1–11, divide the fractions and mixed numbers.
$1^{7 / 25} \div 2 / 5$

Check back soon!

Problem 5

In problems 1–11, divide the fractions and mixed numbers.
$54 / 9 \div 8 \frac{2}{3}$

Check back soon!

Problem 6

In problems 1–11, divide the fractions and mixed numbers.
$6^2 / 9 \div 1^{17 / 18}$

Check back soon!

Problem 8

In problems 1–11, divide the fractions and mixed numbers.
$3 / 4$ hour $\div 3$

Check back soon!

Problem 9

In problems 1–11, divide the fractions and mixed numbers.
$3 / 7$ week $\div 1 / 4$

Check back soon!

Problem 10

In problems 1–11, divide the fractions and mixed numbers.
$6 \frac{2}{3}$ yards $\div 2 / 3$ yard

Check back soon!

Problem 11

In problems 1–11, divide the fractions and mixed numbers.
$142 \frac{1}{3}$ Btu $\div 5 \frac{1}{4}$ hours

Check back soon!
03:16

Problem 12

Air duct straps are made from a 1 -inch-wide strip of metal. The metal is $246 \frac{3}{4}$ inches long. Each strap is $17 \frac{5}{8}$ inches long. How many straps can be made?

Willis James
Willis James
Numerade Educator

Problem 13

Air-conditioning systems are charged with refrigerant R-134a. The cylinder of refrigerant used contains $24 \frac{1}{2}$ pounds. Each system uses $1 \frac{3}{4}$ pounds of R-134a. How many systems can be charged from the $24 \frac{1}{2} 2$-pound cylinder?

Check back soon!
03:19

Problem 14

A section of a condenser measures $4 \frac{1}{4}$ inches and has 51 fins. Some of the fins are bent and must be straightened with a fin comb. The fin comb must have the same number of fins per inch as the condenser. How many fins per inch does the fin comb have?

Cheryl Glor
Cheryl Glor
Numerade Educator
03:16

Problem 15

Strips of metal are cut from a 3 -foot by 8 -foot (96-inch) sheet. Each strip is 3 feet long and $19 \frac{3}{4}$ inches wide. Find the number of complete strips that can be made from this sheet.

Willis James
Willis James
Numerade Educator
01:22

Problem 16

These 5 air-conditioning condensing units are mounted next to each other on a roof. Each unit is equal in size. What is the width of each unit in inches?
(Figure Cant Copy)

Debasish Das
Debasish Das
Numerade Educator
01:39

Problem 17

Washers are placed on a leveling screw to give it support. The washers are 18 gauge and are $3 / 64$ inch thick. How many washers are needed to fill the space?
(Figure Cant Copy)

Rashmi Sinha
Rashmi Sinha
Numerade Educator
03:16

Problem 18

A piece of 12 -gauge sheet metal is $7 / 64$ inch thick. A stack of sheet metal is $17 \frac{1}{2}$ inches thick. How many sheets are in the stack?

Willis James
Willis James
Numerade Educator
08:21

Problem 19

A certain house has floor joists every $1 \frac{1}{3}$ feet. The heating duct for the house runs under the floor hanging from straps that are attached to some of the joists. The distance between the support straps is 4 feet. How many joists have straps attached to them?

Nick Johnson
Nick Johnson
Numerade Educator

Problem 20

Duct tape is used to seal joints in duct insulation. A roll of duct tape contains 360 inches of tape. A 10-inch round duct with a 1-inch layer of insulation on it will need a piece of tape $373 / 4$ inches long to cover the seam and overlap itself. How many seams will one roll of duct tape cover?

Check back soon!
03:26

Problem 21

An installer can work $63 / 4$ hours each day at a worksite. The installer will need $30^3 / 8$ hours to do a complete installation of a heating and cooling system. How many days will the installer be at the job site?

Chris Trentman
Chris Trentman
Numerade Educator
01:17

Problem 22

Four window air-conditioning units are shrink-wrapped together. The package weighs $2493 / 4$ pounds. How much does each window unit weigh?

Prabhu Ramji
Prabhu Ramji
Numerade Educator
00:55

Problem 23

A technician recovered $22 \frac{1}{2} / 2$ pounds of refrigerant $\mathrm{R}-12$ for disposal by emptying $5 / 6$ of a pound of R-12 from each of a number of portable dehumidifier units. How many dehumidifier units did the technician empty?

Aadit Sharma
Aadit Sharma
Numerade Educator
01:31

Problem 24

A humidifier added $2 \frac{5}{8}$ quarts of water to a forced air system each $101 / 2$ hours of operation. How much water was added to the air each hour?

John Barone
John Barone
Numerade Educator
02:27

Problem 25

Single wall smoke pipe is used to connect the oil burner to the chimney flue. The distance from the burner to the vent is $157^{1 / 2}$ inches. If $1 \frac{1}{2}$ inches are allowed on each pipe for fitting, how many lengths of pipe are needed?

James Kiss
James Kiss
Numerade Educator