Mixed Numbers to Fractions

Hello, everyone. I am coming to you from my home classroom here today. This is my class. This is a class full of protagonists who knows what a protagonist is. It's a good guy. A good guy in a story or a movie. We're going to talk about turning mixed numbers into fractions that have the same denominator. That makes the fractions easier to work with. The first example is three and a half equals how many halves it ends up being 7 halves. The shortcut for figuring this out, you may remember this from class, is to take your denominator, multiply it times the whole number, and then add the leftovers, the numerator. So two times three is 6 plus one is 7. Halves, keep the denominator the same. And why this works, why this trick works is if we look at a picture of three and a half, so we've got our big number here, three. Is the whole number. So I have three holes. And then one half of another hole. Inside each hole is two halves. So if you count the number of halves, we have here one half two halves three halves four halves, 5 halves, 6 halves, 7 halves. The reason why the trick works is because I can take my two halves, times three, and then add the extra one to get my 7 halves. Let's look at this example. So first, let's do the trick. 5 times 5 is 25. Plus four is 29. I think I said halves. I mean, I'm in fifths. Yeah, thanks for letting me borrow them. So 29 fifths let's look at why this works. So I've got my 5 holes. And then four fifths of another hole. Fists are hard to draw here. But remember, inside each of those holes are 5 fifths because 5 fifths equal, one whole. Okay. Why is this a picture of 29 fifths? Well, if I take my 5 holes and multiply it times my 5 fifths, that gives me 25 fifths, 5, ten, 15, 20, 25, plus my four extra 26, 27, 28, 29, to get 29 fifths. Here are some practice problems. If you want to pause the screen and write these down on your own paper and then email them back to me or them or bring them to class next week.