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

Russell B. DeVore

Chapter 8

Multiplication of Common Fractions - all with Video Answers

Educators

Chapter Questions

Problem 1

In problems 1–11, multiply the fractions and mixed numbers.
$\frac{1}{4}$
$$
\times \frac{3}{4}
$$

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Problem 2

In problems 1–11, multiply the fractions and mixed numbers.
$$
\begin{array}{r}
\frac{1}{3} \\
\times \frac{3}{7} \\
\hline
\end{array}
$$

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Problem 3

In problems 1–11, multiply the fractions and mixed numbers.
$\frac{2}{3}$
$$
\times \frac{4}{5}
$$

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Problem 4

In problems 1–11, multiply the fractions and mixed numbers.
$$
\begin{array}{r}
\frac{2}{7} \\
\times \frac{49}{50} \\
\hline
\end{array}
$$

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Problem 5

In problems 1–11, multiply the fractions and mixed numbers.
$4 \frac{1}{5}$
$$
\times \frac{2}{3}
$$

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Problem 6

In problems 1–11, multiply the fractions and mixed numbers.
$2 \frac{1}{4}$
$$
\times 1 \frac{2}{5}
$$

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Problem 7

In problems 1–11, multiply the fractions and mixed numbers.
$$
\begin{array}{r}
1 \frac{1}{35} \\
\times 1 \frac{3}{4} \\
\hline
\end{array}
$$

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Problem 8

In problems 1–11, multiply the fractions and mixed numbers.
$1 / 2$ inch $\times 1 / 4$

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Problem 9

In problems 1–11, multiply the fractions and mixed numbers.
$1 \frac{1}{6}$ feet $\times 1 / 3$

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00:26

Problem 10

In problems 1–11, multiply the fractions and mixed numbers.
$3^{1 / 3}$ feet $\times 2^{1 / 20}$

Elizabeth Xu
Elizabeth Xu
Numerade Educator

Problem 11

In problems 1–11, multiply the fractions and mixed numbers.
$3 / 5 \times 1 \frac{1}{4}$ inches $\times 3^{1 / 6}$

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00:24

Problem 12

Convert $2 \frac{1}{4}$ feet to inches.

Ava Perkins
Ava Perkins
Numerade Educator
00:34

Problem 13

Convert $5 \frac{1}{1} 10$ feet to inches.

Cory Kuzinski
Cory Kuzinski
Numerade Educator
01:05

Problem 14

The minimum safe bending radius of a certain polyethylene tube is the outside diameter times $3 \frac{1}{2}$. The tube has an outside diameter of $3 / 8$ inch. What is the minimum bending radius?

Carson Merrill
Carson Merrill
Numerade Educator
01:16

Problem 15

A house is being built. The contractor states that the cost to install electric baseboard heat will be $$\$ 2,480$$. The contractor also states that a forced air, heat pump system will be $2^{1 / 4}$ times as much. How much will the heat pump system cost?

Aspen Fenzl
Aspen Fenzl
Numerade Educator
00:21

Problem 16

What is the total distance between the centers of the first and last gas burners?
(Figure Cant Copy)

Ashley High
Ashley High
Numerade Educator
03:00

Problem 17

A supply plenum is fastened to the furnace with equally spaced screws. Find in inches dimension $X$.
(Figure Cant Copy)

Anas Venkitta
Anas Venkitta
Numerade Educator
01:47

Problem 18

A fuel tank holds $281 \frac{1}{2}$ gallons. One gallon of $\# 2$ fuel weighs $71 / 10$ pounds. How many pounds of fuel are in a full tank?

Mirza Aslam Beig
Mirza Aslam Beig
Numerade Educator
03:16

Problem 19

Support straps are used for this duct. Each support strap is made from two pieces of metal each $21 \frac{3}{8}$ inches long. How many inches of metal are needed for the straps?
(Figure Cant Copy)

Willis James
Willis James
Numerade Educator
02:12

Problem 21

Each hour an oil burner runs, the nozzle sprays $3 / 4$ gallon of fuel. If the burner runs for $2 \frac{1}{2}$ hours, how much fuel is sprayed into the burner?

Joshua Eastwood
Joshua Eastwood
Numerade Educator
01:39

Problem 22

Washers that fit a $3 / 16$-inch bolt cost $1 \frac{2}{9} \phi$ each. What is the cost of 36 (3 dozen) washers?
(Figure Cant Copy)

Rashmi Sinha
Rashmi Sinha
Numerade Educator
04:11

Problem 23

A technician spends 9 hours at work. Repairing a refrigerator takes $1 / 2$ of the time and repairing a window air conditioner takes $1 / 3$ of the time. The technician spends $1 / 18$ of the time ordering parts and $1 / 9$ of the time eating lunch. Find the number of hours the technician spends in each activity.
a. repairing refrigerator
b. repairing air conditioner
c. ordering parts
d. eating lunch

AG
Ankit Gupta
Numerade Educator
01:01

Problem 24

A technician is recovering refrigerant R-22 to be properly disposed. Each unit emptied produced $25 \%$ ounces of R-22. If 8 units are emptied, how many ounces of R-22 did the technician recover?

Lynn Larson
Lynn Larson
Numerade Educator
01:01

Problem 25

At $63^{\circ} \mathrm{F}$, refrigerant $\mathrm{R}-22$ has a weight of $2^1 \frac{1}{5}$ pounds for each cu $\mathrm{ft}$ of the $\mathrm{R}-22$ in gaseous form. A technician determines that the tubing from the evaporator back to the condenser has a volume of $1 / 64 \mathrm{cu} \mathrm{ft}$. If the technician recovers the R-22 in this tubing, how many pounds will be recovered?

Sarah Vo
Sarah Vo
Numerade Educator