Why Form 8865 Fraction 2023-2024

In this video, we're gonna learn the basics about how to add fractions. Now, a lot of math books will teach you how to add fractions before they teach you how to multiply them. But here at Math Antics, we think you should learn the other way around. You remember how easy it is to multiply fractions, right? You just multiply the top numbers together and you multiply the bottom numbers together, and you have your answer. So, you might be wondering, "Well, can't we just do that with addition too? Can't we just add the top numbers together and add the bottom numbers together and get our answer?" Well, alright, let's try it and see. But I got a bad feeling about this. Let's try adding 1/2 to 1/2. So if we added the top numbers, we'd get 2, and if we added the bottom numbers we'd get 4. But well, that can't be right because 2 over 4 simplifies to 1/2. And if you add 1/2 and 1/2, you should get a whole, not 1/2. We must have broken some sort of math rule. I'm out of here. Okay, here's what we did wrong. It turns out that there are some important math rules called order of operations that say you have to do multiplication and division before you do addition and subtraction. Now, because fractions are just division problems, if you just added the top numbers and added the bottom numbers, you'd be breaking those rules because you would be doing the addition before the division. So, what are we gonna do instead? Well, fortunately, there's a trick that lets us work around the order of operation rules and add fractions without dividing. But there's a catch. It only works for fractions that have the same bottom...