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Perform the operations and, if possible, simplif…

06:12

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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 108 Hard Difficulty

Perform the operations and, if possible, simplify.
$$
3 \frac{1}{16} \cdot 4 \frac{4}{7}
$$

Answer

$14$

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Algebra

Elementary and Intermediate Algebra

Chapter 1

An Introduction to Algebra

Section 2

Fractions

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Equations and Inequalities

Functions

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Video Transcript

Mr Tutorial goes through solving problem. One who ate from Chucky one section to practice. We're told to perform given operations and then simplify of possible. Our operation here is multiplication. And we have mixed numbers, so we actually can't multiply mixed numbers. We have to convert them into in the proper action. So my first mixed number has 16th. That's the fraction pieces. So it takes 16 16th to make a whole Well, I have three holes. So three holes with 16. 16 siege. Here's 48 16th on and I have an extra 16 which makes 49 16. So I'm gonna rewrite this improper fraction hand. Then I am going todo this anything from my second mixed number. Except this time, my fraction pieces are seventh, the 7/7 to make a hole, I have four of them. So four holes with 7/7. Beach makes 28 7th and I have four extra seven, so I actually have 32 shit. So I'm gonna write that improper fraction equivalent improper fraction up here and now I can do the multiplication Well. The rule for multiplying fractions is that we take the product of the numerator Sze and put that over the product of the denominators. Well, I really don't want to multiply 49 times to do, too. So what I could do instead is I can break those down into factors to try and divide out some common factors before I have to multiply the actual Reuters and denominators 49. I can break down into seven times seven and 32. I can break down into eight times for 16 is two times eight and seven is just seven. So this lets me see that they share a seven so I can factor that out. They also share in eight so I can factor that out and I'm left with seven times four. And that's gonna factor in the break that down more now into two times two. And then to hear so that kissing another common factor. So I'm left with seven times 2/1 because two divided by two equals one. So seven times do is 14/1 and 14 over. One can simplify to the whole number 14. That is my product

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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