yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Visually dividing unit fraction by a whole number


2m read
·Nov 11, 2024

We're asked to figure out what is one-seventh divided by four. They help us out with this diagram. We have a whole divided into seven equal sections; each of those is a seventh. We have one of those sevenths filled in, so this is one-seventh right over here. Then, they divide it into four equal sections. In fact, they divide all of the sevenths into four equal sections.

So, one-seventh, which is this whole green bar, divided by four, well that would be this fraction of the whole that is in a question mark. So, can you pause this video and figure out what fraction of the whole is this question mark?

Well, when we divided the first seventh into four equal sections, we also divided all of the sevenths into four equal sections. Now, the entire whole is 28 equal sections because you have a four by seven grid. You have one, two, three, four rows, and you still have your seven columns. You could count them: 7, 14, 21, 28.

So, one-seventh divided by four is going to be one of these 28 sections. So this right over here is 1 over 28. So, this is 1 twenty-eighth.

Let's do another example. We're told to use the number line below to help visualize one-fifth being divided by three. As we go from zero to one on the number line, you could divide into five equal sections, where that's one-fifth, two-fifths, three-fifths, four-fifths, and of course five-fifths is equal to one.

But we want one-fifth divided by three, so we took the section from zero to one-fifth and divided it into three equal sections. The first of those sections, this one right over here, would be one-fifth divided by three.

So, what is this going to be equal to? Pause this video again and see if you can figure that out.

Well, the key realization is that when we divided each of the fifths into three more equal sections, we can now think of each of these steps as a fifteenth because now we have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 equal sections between 0 and 1.

Where did that 15 come from? Well, we had 5 equal sections and then we split each of those 5 into 3 more equal sections, so 5 times 3 is 15.

So this right over here is 1 fifteenth, this is 2 fifteenths, this is 3 fifteenths, which is equivalent to one-fifth. We could keep going on and on and on, but the key realization here is if I take that first one-fifth and if I divide it into three equal sections and I go only as far as that first of the three equal sections, that is going to be one fifteenth. One fifteenth, and we are done.

More Articles

View All
The Biggest Market Crash Of Our Generation Is Coming
What’s up, guys? It’s Graham here. So, I have to make a comment on probably one of the most impactful videos that I have seen in a long time from Patrick Bet-David on Valuetainment, with a warning that the biggest market crash of our generation is here. T…
15 Things That You Always Find in a Poor Person’s Home
A home is the summation of all that’s happened within it. Whether it’s a reminder of where you started from or a wakeup call about where you want to get. Out of this one will either trigger or motivate you. Those of you who grew up poor and made it out, k…
The Warning Of Hyper Inflation | $2 Trillion Stimulus
What’s up you guys, it’s Graham here. So I’m gonna be attempting to answer one of the most difficult questions that I’ve been getting asked recently here in the channel after this new stimulus plan was recently passed, and that would be: Am I still wearin…
Will Berkshire Hathaway Stock Crash Without Warren Buffett? (w/ @InvestingwithTom)
[Music] Hey guys, welcome back to the channel. Uh, today we are continuing with the new money advent calendar. We’re going strong, and I’ve got another great guest on the channel for today. We have Tom from Investing with Tom. How you doing, buddy? Prett…
8 movies that will quickly improve your life
Here are 8 movies that improved my life, and maybe they’ll improve yours too. Number one: Catch Me If You Can. Catch Me If You Can is a 2002 film that is a true story. Obviously, there are probably some dramatic elements, and it stars Leo DiCaprio and To…
Corn Flour Fireball
[Applause] I’m about to make a corn starch Fireball. Check it! [Music] Out, that is awesome! But it’s not just about making a giant Fireball; this is about real science. What’s going to happen when I put this butane torch on this teaspoon of corn flour? …