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Use one of the symbols $<$ or $>$ to make each st…

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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 45 Hard Difficulty

Use one of the symbols $<$ or $>$ to make each statement true.
$$\frac{2}{3}\quad\text{__}\quad\frac{3}{5} $$

Answer

$>$

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Elementary and Intermediate Algebra

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Section 3

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Video Transcript

here we have two numbers and we have to decide which one is greater than or less than the other. So looking at these two numbers, I see that they're fractions. And I noticed that these fractions have different denominators, and in order to compare them being greater than or less than each other, they have tohave the same denominator. So what I'm gonna do is I'm gonna take 55 is the bigger denominator, and then I'm gonna notice that three can't become five. So then I look at the next multiple five times two is 10 re cannot be multiplied by anything to get 10 nicely. So then five times three is 15. Well, we can make a three into a 15 so that's going to be the denominator that we choose. So we're gonna set up fractions with the denominator of 15 and then we have to remember to get the numerator the same kind of way. So then what we're gonna do is we're going to say, in order to get three to be 15 we multiplied by five. So then we're going to do the same thing to the numerator. So taking two times five we would get 10 doing the same thing on the other side. Within number 55 times re gets his 15. So then multiplying the numerator three times that number, we multiplied, we'd get nine. And now, since the denominators are the same, we can compare the numerator Sze to decide which one smaller So between 10 and 99 is the smaller number. Which means going back to our original statement, we can point to that fraction that smaller

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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