All right, now we're going to talk about dividing fractions. And what I want what the demonstration pro problem I'm going to use is two fifths divided by seven fifths. And here we have our equation right there. All right, very similar to multiplying fractions as we discussed in the previous section. All we do is flip the divisor right there. Again, that's the divisor right there.

So I flip it. So basically, seven goes on top and five goes on the bottom, and then I just multiply it so I go from five sevens here are the seven fifths here and I just multiply them Two times seven is 14. And five times five is 25. That's my answer. So two fifths divided by five sevens is 1420 fifths. That's it.

So basically, it's the same thing as multiplying fractions. I just do one step. Prior to that. I take the divisor and I flip it, the denominator becomes the numerator, and the numerator becomes the denominator, just like I'm showing you here. Okay, that's it. All right, let's go on to the next slide.

We're going to do a couple of examples. I'm going to give you some problems to do. And then we're going to talk about the simplest form of fractions. All right, so again, dividing fractions. I give you one more example right here. One third divided by two thirds.

Basically, what do I do I flip the device or right? If you notice we go from two thirds there to three halves there. And then I just multiply. One times three is three. Three times two is six. So my answer even though is three, six.

But if you look, it's one, the simplest form is one half. All right? We're going to go into that in a little bit deeper on the next couple of slides. All right, I'm just introducing it here. So my answer is three, six, but I want to have my answer in the simplest form, or the lowest denominator, or the lowest fraction, I should say. And that happens to be a One half, so my answer is one half.

Okay, take a look. Here are the questions. And on the next slide, I'll give you the answers. All right. 130 divided by four fifths, three, seven divided by two thirds, creates divided by eighth ninth, three fifths divided by five sevens. All right?

Hit the pause button do the problems. The answers are on the next slide. All right here your answers. one fifth divided by four fifths. I'm sorry, one third divided by four fifths is 512 370 divided by two thirds is 914. Three eight divided by 896 2760 fourths, and three fifths divided by five sevenths is 2120 fifths.

Okay, any questions? You have the help number that's in the beginning. The end of each section, give me a call, send me an email. All right, when we put a fraction in its simplest form, we want to get the lowest denominator and hole numerator. All right, so let me let me expand upon that if you're not really clear what I mean by that, and as we go through this, it'll come clearer. Over here.

All right, I want to multiply two ninths by 125 over 250. So again, two times 125 is 259 times 250 is 2250. Here 2250. All right, so my answer and I'm going to call it in a raw form is twofold. 50 over 20 to 50 or 2250. That really doesn't I mean, if you look at it, can you really fathom that?

It's a, okay, you know. So we want to, we want to bring it down to its lowest form. But again, we want my numerator to be a whole whole number. All right? And we want to have the lowest number as a denominator, right? So if I look at 250, and I'm going to put it over here.

Well, if I and let's do this, let's, let's bring down the calculator. All right, I've brought down the calculator. And if we look at this, I can say okay, let's see. I can do Well, I see 250 over 2250, I can try to find what I need to do is try to find a number that will divide in both the numerator and the denominator evenly. And I can try things. Just just to demonstrate, let's try 25.

So 250, which is my numerator, divided by 25. Well, that's 10. So what I usually do, and again, as you as you do this and you get more familiar with it, you won't be it won't be as difficult. I'm gonna just make in my book and say 10 All right, let's get out. Okay, so as we said before, if I divide to 250 Buy 25 I get 10. And there it is right there.

And now what I'm going to do is I'm going to look to see how many times 25 can go into 2250. So I'm going to go to 250 divided by 25 equals, and that's 90. Okay? So that's 90. So I do this. So let's make it a glitch, bring it and make it look nice.

So now we got 10 over 90. And if you look at that, all right, we'll bring the calculator down. And we'll do that again. All right, so now we got 10 over 90. So just by looking at that 10 divided by 10 equals one. All right, so we're going to put one there.

And 90 divided by 10 equals nine. So what I said before is I want my fraction to be in the lowest form. I want my numerator to be a whole number. Alright, so that means I, my numerator cannot be less than one. And I want my denominator to be as low as possible, in this case nine. So my answer is one night.

All right. I mean, I can't get a whole number. That's less than one. One is the lowest I can go so my answer is one nine. So Going back to my original and on my original equation right here, two fifths times 125 over 250 when all is said and done, and reduce it to the lowest form is one night. All right.

Okay, let's stop. Let's go down. Let's clear the slide and look at, I want to go into this a little bit more the same example. Now what we can do is, before we actually do the, the mathematical manipulation, or the division, multiplication, whatever on the fraction, we can actually get the fractions into this simplest form. So this is basically what I'm trying to show you here. All right, we want to multiply two ninths by 125 over 250.

All right, well, if you look at the 250 125 divided by 250. That's going to be one half. Now I can I can certainly go in, use the calculator and divide 125 by 25 and get a number. And I can certainly go into the numerator and do 250 divided by 25. Right. So if I do that, what does that become?

Well, 125 divided by 25 is five. And 250 divided by 25 is 1010 over five. So remember what I said I want my numerator To be a whole number, I want my denominator to be in the lowest form is five tenths that well, let's look at that. And what I can do is, I can say, well, news, I can try like two, two goes into five, it's good will not allow me to have a whole number. Let's do it again. Let's try three.

Five divided by three will not allow me to have a whole number. Let's try four. Five divided by four will not allow me to have a whole number. But if I divide five by five, I get a one. And if I divide 10 by five, I get a two All right. So that's what we have here.

So what I've done, or what a lot of mathematicians will do is they will reduce the fractions, and then solve for the answer. So if you look, before we solve for the answer to 18. So one night, we took this fraction, and we brought it to its simplest form, which is one half. Then we did our operation, we got to 18th. And then we reduce that to one night. Okay, there's many ways that you can do this and approach this.

You can use a calculator, you can look at it. At the very beginning. It may be awkward and hard, but as you do more and more of them, it'll become easier. All right, let's, let's move on and do some examples. Alright, so now we're going to do a couple of exercises and get these fractions into what we call the simplest form of a fraction. All right, and what I stated earlier is we want the numerator to be the low, the lowest whole number possible.

And we want the lowest whole number denominator. In other words, the denominator here has to be the lowest whole number. And then the numerator has to be a whole number of the lowest it can be without going without being fractional, or less than one. All right. So what I recommend is that we, we should use the calculator, okay, I mean, we've got it, it'll make life easier. So I'm gonna gotta bring the calculator down.

And we got to move it over here. All right, so now I'm going to look at this one here first. I'm going to look at those two. And I'm going to divide. Find the lowest number or the lowest whole number for my denominator, which is right here. All right, so let's put in 51.

And we're going to divide it by two first. And what set equal well 25 dot five. That is not a whole number. There's a decimal fraction in here, right there, the point five, so we can't use that. So let's clear it and Let's put 51 in there again. And let's divide that by three and see what we get.

Ah 17. Well, that's a whole number. Let's see what we get. Let's see what we get now. Ah 427. All right.

So I'm going to clear my calculator. And I'm going to say 27 divided by three equals nine. Well, that's a whole number, isn't it? So let's put nine there. So we have 917. Is that the lowest form I can do?

Well, we know That we can't put a two in there because nine is odd. And 17 is odd, so two won't work. But maybe three will. So I know if I divide three into nine, so I got my nine here. I'm going to divide that by three. Well, that whole number three, okay, but let's see if the denominator now cooperate.

So if I divide three into 17, that has to be a whole number. So let's see if that works. So let's do 17 divided by three, that's not going to work. It's not a whole number. So I think by if you look, if we go up, it's not really going to help us. The farthest I can go would be nine because nine into nine over here would be one If I go beyond nine, I'm going to get a number that's less than one in the numerator.

So I tried three, four is not going to work because four is an even number. And these are both odd. Five is not going to work. All right? Six is not going to work because it's even sevens not gonna work, you can try that it's just not. And eight is not going to work because again, it's even.

So the lowest form that we have the lowest form that we have is 917. So 27 over 51. In my simplest form is 917. That's the lowest form. All right, well, let's look at the this one here now. Whoops, there we go.

And let me get my count. calculator back. All right, so we got 72 over 102 or 102. And we want to put it in its simplest form. So get the calculator and let's start with two. So let's look at, let's look at 102.

Now, I know that two is probably going to go in there nicely, because they we have an an even number on both ends. So let's see what we got. We got 102 divided by two equals 51. All right, again, let me get my calculator back. Let me clear it and let's do 72 divided by two, and we get 36. i. Now looking at this right here, let's see if we can do anything else with it.

Because 36 is even in 51 is odd. So we know that by putting a two, dividing up by 251, it's not going to work. So let's try. Let's try three and see what we get. Okay, let me get my calculator back, and then declare it and let's do 51. Let's do the bottom first divided by three.

Ah 17 so I got 17. And let's, let's see what 36 does for us. Let's clear it. So 36 divided by three and that's 12. So basically what we're saying here is that my answer is 12 over 17. And if you look at that, I really can't i can't reduce that anymore.

To one going to 17 three one go into 17 Easy, easy or evenly, I should say. Four won't. Five won't. Six won't go into 17. Seven won't go into 17. Eight won't go into 17.

Nine won't go into 1710 definitely won't. And we can actually go up to 12. Because if you remember before, we need a whole number in the numerator. And if I go beyond 12, I'll get a fraction. So this is at its simplest form here. And that's it.

So 72 over 102 reduces down or get simplified to the lowest term of 1270s. Okay, let's take a few minutes and do the four exercises here. Stop, stop the presentation, do the exercises. Then resume it and you'll see the answers. Okay. All right, here are the answers.

We're going to stop here. And on the next section we're going to talk about multiplying fractions by whole numbers. Seeing the next one