Fundamentals of Mathematics, 2008a

306
CHAPTER 5. ADDITION AND SUBTRACTION OF FRACTIONS,
COMPARING FRACTIONS, AND COMPLEX FRACTIONS
Exercise 5.3.49
A morning trip from San Francisco to Los Angeles took 13
12
How much longer did the morning trip take?
hours. The return trip took
57
60 hours.
Exercise 5.3.50 (Solution on p. 331.)
At the beginning of the week, Starlight Publishing Company's stock was selling for 115
8
dollars per
share. At the end of the week, analysts had noted that the stock had gone up 11 4
dollars per share.
What was the price of the stock, per share, at the end of the week?
Exercise 5.3.51
A recipe for fruit punch calls for 23 3 cups of pineapple juice, 1 4 cup of lemon juice, 15 2
cups of orange
juice, 2 cups of sugar, 6 cups of water, and 8 cups of carbonated non-cola soft drink. How many
cups of ingredients will be in the nal mixture?
Exercise 5.3.52 (Solution on p. 331.)
The side of a particular type of box measures 8 3 4
inches in length. Is it possible to place three such
boxes next to each other on a shelf that is 26 1 5
inches in length? Why or why not?
Exercise 5.3.53
Four resistors, 3 8 ohm, 1 4 ohm, 3 5 ohm, and 7 8
ohm, are connected in series in an electrical circuit.
What is the total resistance in the circuit due to these resistors? ("In series" implies addition.)
Exercise 5.3.54 (Solution on p. 331.)
A copper pipe has an inside diameter of 2 3
5
16
inches and an outside diameter of 2
34
inches. How
thick is the pipe?
Exercise 5.3.55
The probability of an event was originally thought to be 15
32
. Additional information decreased the
probability by 3 14
. What is the updated probability?
5.3.4.1 Exercises for Review
Exercise 5.3.56 (Solution on p. 331.)
(Section 1.6) Find the dierence between 867 and 418.
Exercise 5.3.57
(Section 2.5) Is 81,147 divisible by 3?
Exercise 5.3.58 (Solution on p. 331.)
(Section 3.6) Find the LCM of 11, 15, and 20.
Exercise 5.3.59
(Section 4.5) Find 3 4 of 4 2 9 .
Exercise 5.3.60 (Solution on p. 331.)
(Section 5.2) Find the value of
8
15 − 3 15 + 2 15 .
5.4 Addition and Subtraction of Mixed Numbers 4
5.4.1 Section Overview
• The Method of Converting to Improper Fractions
To add or subtract mixed numbers, convert each mixed number to an improper fraction, then add or subtract
the resulting improper fractions.
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