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Perform the operations and, if possible, simplif…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124

Problem 107 Hard Difficulty

Perform the operations and, if possible, simplify.
$$
1 \frac{31}{32}+7 \frac{1}{9}
$$

Answer

14

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Elementary and Intermediate Algebra

Chapter 1

An Introduction to Algebra

Section 2

Fractions

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Video Transcript

So this tutorial goes over. Question 107 Chapter one section to practice. We're told to perform their given operation and simplify it possible. So are given. Operation is multiplication, but our numbers are in mixed number form and we cannot multiply in mixed number form. So we're gonna have to convert overview right days inch in improper fraction for So in order to do that, I look at how many pieces it takes to make a hole. So I'm dealing with 30 seconds. 32 um, and in I have one hole of those, so one whole means I have 30 to 30 seconds, and then I have an extra 31 good second. And so together, that makes 63 30 seconds. So I'm gonna write that up here that equivalent improper fraction, and then I'm gonna do the same thing with my seven and one nights. So the pieces here are nights. It's much easier to say. And I have seven holes, so seven holes made of 9/9 each in 63 nights. Plus, I haven't extra night. And so I have 64 nights, and so I'm going to rewrite this up here in improper fraction form. And I really, really did not want to multiply a 63 times 64. So I said, I am going to hope that they have something. Ah, common factor with some of the bottom members. The denominators. So I agreed to crime factor before I multiply. So 63 prime factors to nine times seven. So I'm gonna write nine times seven. I mean, are you gonna depart? Factor on then. 64 is the time skate and 32 is eight times four and then nine is I actually keep it the night here, so I can see already that they share a ny. I can see that they share in eight. And now I'm gonna break it down further eat. But the prime factors to two times. Two times two and four prime factors to two times two, which lets me see the other shared actors. So I am left with seven times two over one because two divided by two is one. So I have one on the bottom, my denominator and seven times two is four teeth. So I have 14/1 and 14/1 is the same as 14. That is my product.

We have video lessons for 94.35% of the questions in this textbook

Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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