Lesson video

Hi, I'm Mr. Chan, and in this lesson, we're going to learn about fractions greater than one and percentages over 100%.

Let's begin looking at fractions greater than one and percentages above 100%.

A nice way to represent fractions and percentages is using bar models.

Here we've got a bar model representing 100%.

And when we talk about percentages above 100%, we think about the amount that's more than the hundred percent bar model there.

So we're talking about percentages above 100%, and that could go beyond the bar model as shown.

So let's look at an example where we're working with a percentage above 100%.

They shaded parts will represent 100% and we can see that that's been split up into four.

And we've got to figure out what the whole bar model there fully represents.

So let's figure out what the hundred percent has been split up into first.

Because it's been split up into four equal pieces, we can do a calculation, 100% divided by four.

What that tells me is that's 25%, so each part that's shaded represents 25%.

Because each part would be equal, those two parts beyond the 100% would also be 25% and 25% each.

We can figure out in total now, the bar model shown would, in total, be all those 25 percents, representing 150%.

Here's a question for you to try.

Pause the videos to complete the task, resume the video once you're finished.

Here are the answers for question one.

Remember to always look at how many parts the 100% has been split up in to, those shaded parts.

The 100% has been split up into five parts in part A.

So to find what one part represents, you would do 100 divided by five to get 20.

So each part in that bar model would represent 20%.

So the whole bar represents 120%.

Here's an example of finding 150% of 60.

So what I've done with my 100% bar model is split up into 10 equal pieces.

It doesn't always have to be split up into 10 equal pieces, but for the purpose of this calculation, I have done to make it a little bit easier for myself.

The 150% is represented as the full bar there, so it's the amount that goes beyond 100%.

And by splitting it up into 10 equal pieces for the 100% part, that means that each piece is equal 10%.

I've done that because I can find 10% of 60 quite straightforward by diving by 10.

That would be six, 10% of 60 equals six.

So that tells me that each part in that bar model equals six.

So what we now have to do is figure out what the whole 150% equals, and that would be 15 lots of six.

So I've multiplied the six by 15 to equal 90.

And that would be our final answer.

So 150% of 60 equals 90.

Here are some questions for you to try.

Pause the video to complete the task, resume the video once you're finished.

Here are the answers.

Hopefully you did use the bar models in question one to help you with this, but the important part is realising that the 60 in this question is 100%.

And when you've found a certain percentage of that 60, then that will help you with finding other percentages greater than 100%.

Here's an example of finding a fraction of an amount, where the fraction is greater than one.

So we're asked to find five quarters of 300.

So let's begin by thinking about the quarters that we're familiar with working with.

I'm going to represent that with a bar model, fraction bar model there, so four quarters, a whole, that would be the 300.

Let's figure out what one quarter would be by dividing that by four.

So one quarter 300 would be 300 divided by four.

So each part in that fraction bar model would be 75.

The question does ask us for five quarters, so let's add in another quarter, as such.

I'll show you with the diagram.

There we've got five quarters.

Again, that one extra quarter that we're thinking about requiring also equals 75 because the important thing with fractions, every part is equal and the same.

So in order now to figure out what five quarters of 300 actually is, we can multiply that by five.

So five quarters of 300 would be 75 multiplied by five, and that would give a final answer of 375.

Here are some questions for you to try.

Remember drawing bar models may help you with these.

So pause the video to have a go, resume the video once you've finished.

Here are the answers for question four.

In these questions, remember it's important to find out what one part of the fraction represents, in order to find out what the question is asking you.

So, for example, in part A, it is asking you for six fifths.

I would start out by finding what one fifth is, and then multiplying that by six to find out what six fifths is.

Hopefully you got all those correct.

Here's a question for you to try.

Pause the video to complete the task, resume the video once you're finished.

Here are the answers for question five.

In this question, you've got to match the equivalent cards, fractions, decimals, and percentages.

It really helps to draw the bar models for these types of questions, because it really highlights how many parts you've got, what fraction you've got, how many wholes you've got.

Remember, when you've got a whole one shaded in a fraction, that would represent one whole one, or 100%.

That's all for this lesson, thanks for watching.