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To prepare for Chapter $7,$ review addition, subtraction, multiplication, and division using fraction notation (Sections $1.3,1.5,1.6, \text { and } 1.7)$$$\frac{-\frac{8}{15}}{-\frac{2}{3}}[1.7]$$

$$\frac{4}{5}$$

Algebra

Chapter 6

Polynomial Factorizations and Equations

Section 7

Applications of Polynomial Equations

Graphs and Statistics

Exponents and Polynomials

Equations and Inequalities

Polynomials

Campbell University

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Idaho State University

Lectures

02:50

To prepare for Chapter $7,…

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02:05

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03:39

01:10

To prepare for Section 7.2…

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To prepare for Section 7.3…

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00:37

To prepare for Section $7.…

00:43

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To prepare for Section $3.…

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All right. So the question we're looking at today is we're going to be reviewing addition, subtraction, multiplication and division using fraction notation. And the question were given today is in this form, we have negative and over 15. So sorry. I don't like where that negative is should be employed to the whole thing. Divided by negative Teoh over three. And we're giving it to us in this form. So the first thing we're gonna do is we're gonna make this form a bit more easier to work with. We're just going to make it. So negative. 8/15 divided by negative Teoh over three. And that just seems like a lot easier to work with. Except we're gonna do is we're gonna flip this. Um, we're gonna flip this fraction right here on, and we're gonna make the division sign a multiplication sign, so it's gonna look something like this. Negative 8/15 times. Negative. 3/2. And that's what we're gonna be dealing with. And from there, it's just a simple multiplication problem. So we're gonna do eight times three and 15 times two, because both of our, um because both of our pro are, uh, fractions here and negative there and there. That's gonna mean our answer is gonna be positive. So if we just have a negative eight times negative three, that's just gonna be 24. And if we do negative 15 times negative too, it's just going to be 30. Um, just the last. You may look at this problem and think it's done, but that is not correct. You're almost done, but not quite. You see, this fraction can be simplified. You can do both, can be divided by six to give us our fraction in the lowest form. So our final answer is actually gonna be for over five.

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