Why 3 Billion People Fail This 6th Grade Math Problem (And Give Up)

[00:00:00]Hi everyone. If you've been watching most of the video or the full video, I appreciate that. If you have subscribed to the channel, thank you so much for subscribing. And if you got the right answer, please hit that like button. And if you have not subscribed, please subscribe to the channel to support. And I will start solving this tricky math problem. PEMDAS wants us to start with 5 / 2, which I don't know, so I write it in a fraction form.

[00:00:26]Next, I'll be using the keep, change, flip rule because we're going to turn that division symbol to multiplication.

[00:00:35]And then we want to write this three into a fraction, 3 over 1, and then we want to flip it. So the one goes on top and the three goes at the bottom. So it'll be written like this, 1 over 3.

[00:00:48]And then you multiply across. 5 * 1 is 5 over 2 * 3 is 6. And this cannot be broken down further, so 5 over 6 it is.

[00:00:58]And now I'll be dropping the 6 / 3 in a fraction form, 6 over 3, divided by and then we have 5 over 6.

[00:01:12]And then drop the division symbol down and then the two down but in a fraction form to make the math fun and easy. 2 over 1 equals 2 does not change the two.

[00:01:20]Now we're looking at this. Yes, we'll be we'll we'll continue using the keep, change, flip rule. So we want to keep the three over the six over three. And then change division. Actually, we can break this down further. This 6 over 3 can be broken down further, so um it's Well, let's just keep it like that. And then just because what what what happens. So we keep the first fraction, then change division to multiplication. And then lastly flip the second fraction. 5 over 6 will be written 6 over 5. And then we multiply across, so 6 * 6 is 36 over 3 * 5 is 15.

[00:02:05]And then, I'll erase this for space and write 36 over 15. Yes, I can break this down further, so let's do that. Let me just rewrite this divided by 2 over 1.

[00:02:20]And now, what What can we use? Yes, we can use three. 36 divided by three, something that gives you three is 12, right? So, 12 * 3 is 36. Cuz 12 * 2 is 24 plus another 12, that gives you 36 over and then something that gives you 15 is five. 5 * 3 is 15. And that's it, you can't break that down further. This 12 over five cannot be broken down further. So now, I'll erase this and write 12 over five and then divided by tw- two over one. And then, we use the keep change flip rule again, so we keep the first fraction, change division to multiplication, and lastly, flip the second fraction, so be written two It will be written one over two, like that. And then, you multiply across. 12 * 1 is 12 over 5 * 2 is 10. And this can be broken down further, so they both are even, so let's just half them. And half of 12 is six over half of 10 is five. And so, that's it. This is your improper fraction answer. Let's go ahead and get a decimal answer using long division and a mixed number answer. So, I'll write the 6 over 5 here and then write the mixed number answer there and then write the decimal answer here. So, here's the long division symbol. The six goes inside, that's the dividend, and five goes outside, that's the divisor. You can fit five into six one time, and one times five is five. And you You don't multiply, you subtract. Six minus five is one, and we can write our mixed number answer, which is one, and then the remainder is one over five. You use this number.

[00:04:19]You You write the five below the fraction bar. And then to to figure out the decimal answer, I know some of us already know it's 1.2, but let's just continue the long division. You can't fit five into one, so the one needs to borrow a zero. You add a decimal here, and a decimal there. Write the zero, bring it down, give it to the one, now it becomes 10. Five can fit into 10 twice. And five Two times five is 10, and 10 minus 10 is zero. So, your decimal answer is 1.2. And there you go.

[00:04:51]Thank you so much for watching, and I'll see you in the next video. Bye.