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Mathematics for Machine Technology

John C. Peterson, Robert D. Smith

Chapter 13

Division of Decimal Fractions - all with Video Answers

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Chapter Questions

02:28

Problem 1

Add $5 \frac{3}{16}+4 \frac{5}{6}$.

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07:35

Problem 2

Express the common fraction $\frac{44}{125}$ as a decimal fraction.

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Sandip Ranjan
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00:24

Problem 3

Subtract $1.702-0.854$.

Amy Jiang
Amy Jiang
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Problem 4

Use Figure 13-2 to answer Exercises 4 through 6. All dimensions are in millimeters (mm).
figure 13-2 can't copy
Determine the length of A.

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Problem 5

Use Figure 13-2 to answer Exercises 4 through 6. All dimensions are in millimeters (mm).
figure 13-2 can't copy
Determine the length of B.

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Problem 6

Use Figure 13-2 to answer Exercises 4 through 6. All dimensions are in millimeters (mm).
figure 13-2 can't copy
Determine the length of C.

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02:36

Problem 7

Divide the numbers in Exercises 7 through 9. Express the answers to the indicated number of decimal places.
a. $0.69 \div 0.432$ (3 places) _______
b. $0.92 \div 0.36$ ( 2 places) _______
c. $0.001 \div 0.1$ (4 places) _______
d. $10 \div 0.001$ (3 places) _______

Teresa Fuston
Teresa Fuston
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02:36

Problem 8

Divide the numbers in Exercises 7 through 9. Express the answers to the indicated number of decimal places.
a. $12.45 \div 0.05$ (2 places) _______
b. $24.0016 \div 0.32$ (3 places) _______
c. $\frac{42}{0.065}$ (4 places) _______
d. $\frac{2.006}{0.075}$ (4 places) _______

Teresa Fuston
Teresa Fuston
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02:36

Problem 9

Divide the numbers in Exercises 7 through 9. Express the answers to the indicated number of decimal places.
a. $1.023 \div 0.09$ (3 places) _______
b. $\frac{16.3}{3.8}$ (2 places) _______
c. $\frac{37}{0.273}$ (2 places) _______
d. $\frac{0.005}{0.81}$ (4 places) _______

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Teresa Fuston
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Problem 10

As indicated in Figure 13-3, rack sizes are given according to diametral pitch. Given four different diametral pitches, find the linear pitch and the whole depth of each rack to 4 decimal places. All dimensions are in inches.
Linear Pitch $=\frac{3.1416}{\text { Diametral Pitch }}$
Whole Depth $=\frac{2.157}{\text { Diametral Pitch }}$
$$
\begin{array}{c|c|c|} \hline & \text { Diametral } & \text { Linear } & \text { Whole } \\
\hline& \text { Pitch } & \text { Pitch } & \text { Depth } \\
\hline a. & 6.75 & & \\
\hline b. &2.75 & & \\
\hline c. &7.25 & & \\
\hline d. &16.125 & & \\
\hline
\end{array}
$$
figure 13-3 can't copy

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Problem 11

Four sets of equally spaced holes are shown in the machined plate in Figure 13-4.
Determine dimensions A, B, C, and D to 2 decimal places. All dimensions are in millimeters.
figure 13-4 can't copy
A = _______
B = _______
C = _______
D = _______

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Problem 12

A cross-sectional view of a bevel gear is shown in Figure 13-5. Given the diametral pitch and the number of gear teeth, determine the pitch diameter, the addendum, and the dedendum. Round the answers to 4 decimal places.
figure 13-5 can't copy
$$
\begin{array}{c|c|c|c|c|} \hline &&& \text { Pitch }&&\\ \hline & \text { Diametral } & \text { Number of } & \text { Diameter } & \text { Addendum } & \text { Dedendum } \\ & \text { Pitch } & \text { Teeth } & \text { (inches) } & \text { (inches) } & \text { (inches) } \\
\hline a. &4 & 45 & & & \\
\hline b. &6 & 75 & & & \\
\hline c. &8 & 44 & & & \\
\hline d. &3 & 54 & & & \\
\hline
\end{array}
$$

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Problem 13

How many complete bushings each 14.60 millimeters long can be cut from a bar of bronze that is 473.75 millimeters long? Allow 3.12 millimeters waste for each piece. _______

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Problem 14

A shaft is being cut in a lathe. The tool feeds (advances) 0.015 inch each time the shaft turns once (1 revolution). How many revolutions will the shaft turn when the tool advances 3.120 inches? Round the answer to 2 decimal places. _______

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Problem 15

How much stock per stroke is removed by the wheel of a surface grinder if a depth of 4.725 millimeters is reached after 75 strokes? Round the answer to 3 decimal places. _______

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Problem 16

An automatic screw machine is capable of producing one piece in 0.02 minute. How many pieces can be produced in 1.25 hours? _______

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02:12

Problem 17

The bolt in Figure 13-6 has 7.7 threads. Determine the pitch to 3 decimal places. All dimensions are in inches. _______
figure 13-6 can't copy

Joseph Lentino
Joseph Lentino
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02:12

Problem 18

The block in Figure 13-7 has a threaded hole with a 0.0625-inch pitch. Determine the number of threads for the given depth to 1 decimal place. All dimensions are in inches. _______
figure 13-7 can't copy

Joseph Lentino
Joseph Lentino
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Problem 19

The length of a side of a square equals the distance from point A to point B divided by 1.4142. Determine the length of a side of the square plate in Figure 13-8 to 2 decimal places. All dimensions are in millimeters. _______
figure 13-8 can't copy

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02:21

Problem 20

All sections of the block in Figure 13-9 are equal in length. Determine the length A to the nearest thousandth millimeter. _______
figure 13-9 can't copy

Jacquelyn Trost
Jacquelyn Trost
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