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Perform the operations and, if possible, simplify…

03:53

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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 78 Medium Difficulty

Perform the operations and, if possible, simplify.
$$
15 \div 3 \frac{1}{3}
$$

Answer

$rac{9}{2}$

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Algebra

Elementary and Intermediate Algebra

Chapter 1

An Introduction to Algebra

Section 2

Fractions

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Video Transcript

Okay. Hi there. This is solving this video tutorial goes through. Ah, solving questions 78 in chapter one, Section two. And we are told to perform the given operation and simplify if possible. So we are given 15 divided by three and 1/3. And so we have ah, whole number. And then we also have a mixed number. Now we can't perform division or multiplication for that. Another matter that would we have numbers in different forms. And so what I need to do is I need to put both of these numbers in the same for So I'm going to convert or be right the number 15 as a fraction by putting it over the number one Anthony, I am going Teoh rewrite or convert this mixed number into improper fraction. So remember, converting next numbers into the improper fractions. This denominator right here tells me how many pieces make up a whole. So three pieces make up a whole Well, I have three holes, so three holes that each have three pieces gives me nine pieces. Then I have this extra piece, so I have to add it together. And that gives me the total number of pieces that I have. So I have 10 pieces of the 3rd 10 of the thirds. So now I can do my division will do to divide fractions to divide by a fraction. That's the same thing is multiplying by the reciprocal. So 15/1 is this divided by 13th is the same as 15/1 times, 3/10 on. That's because 10/3 and 3/10 are reciprocal. So now I can apply the multiplication rule for fractions, which is that we take the product of the numerator, which is 15 times three. And we put that over the product of the denominators, which is one times 10 and I know that I'm going to be able to simplify this. I'm gonna actually just prime factor it now. So 15 is three times by and then there's my original times three, and we have one times 10. Print factor is two times five, so these fives divide to be one. So I am left with three times three over one times two, and that becomes three times three is nine and one times two is two. So this is the quotient of 15 divided by three and 1/3

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Alan S. Tussy, R. David Gustafson

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