Lesson video

Hi, I'm Mr. Chan, and in this lesson, we're going to be learning about simple fraction, decimal, and percentage equivalents.

So when we think about fraction, decimal, and percentage equivalents, for every fraction, there's an equivalent decimal and a percentage, and for every percentage, there's an equivalent fraction and decimal.

So we can express fractions, decimals, and percentages as equivalents of each other really.

So let's begin with an example, and I'm going to use 1/5.

So there's my fraction model 1/5.

So I've got five equal parts, and 1/5 would be one shaded out of the five parts there.

If I wanted to think about that as a decimal, I could create an equivalent fraction of 2/10, and 2/10 is simply thinking about two divided by 10.

So that would be an equivalent decimal, obviously, 0.

2.

Moving on to a percentage, I know percentages are out of 100.

So from the 1/5, I can create an equivalent fraction of 20 out of 100.

That would be 20% as an equivalent.

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.

As you can see from the diagrams, the same amount is shaded for each one.

So 1/4 is equivalent to 0.

25 is equivalent to 25%.

Here's a table for you to complete.

Hopefully, you can write the fraction, decimal, and percentage equivalents.

Have a go by pausing the video.

Restart the video once you're finished.

Here are the answers.

These are the more common fraction, decimal, and percentage equivalents that you need to know.

So if you're unsure how to convert a fraction to a percentage, or a percentage to a decimal, for example, maybe review the examples at the beginning of the lesson.

Here is another example.

I'm going to start with 30% this time, and try and write that as a fraction first.

So 30%, I know is 30 out of 100.

I can simplify that fraction 30 out of 100 to 3/10, so that would be my fraction, 3/10 as you can see there.

Now, 3/10 to convert that into a decimal equivalent, that simply means three divided by 10.

So dividing by 10, we would shift the digit three one space to the right.

So 3/10 would be as an equivalent decimal, 0.

3.

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.

Let's look at question four because Amy thinks that 1/3 is equivalent to 30%, and that is a really common mistake that people make.

Because if you think about 30% as being 30 out of 100, which is 30%, and simplify that to 3/10.

Well, 3/10 and 1/3 are not exactly the same as each other.

They are not equivalent.

3/10 does not simplify to 1/3, which makes them totally different values, so be careful with those two.

Here's an example where we're comparing fractions, decimals, and percentages where they're not in the same format as each other.

So here's an example where we're going to compare 0.

5 with 40%.

I begin by thinking about 0.

5 as an equivalent percentage, and I can think of that as 5/10.

5/10 would be 50%.

So 0.

5 is equivalent to 50%, and we can quite clearly see that that would be greater than 40%.

However, I could have thought about the 40% as an equivalent fraction first, which is 40 over 100, simplifies to 4/10, and as an equivalent decimal, 4/10 means four divided by 10.

That would be 0.

4.

So again, 0.

5 would be greater than 0.

4.

So however we compare them, I was still right, the greater than symbol there.

Now, if we were to compare fractions with a percentage, for example, I can think of 4/5 in this case as a fraction out of 100.

So that would be an equivalent fraction of 80 out of a hundred.

And the reason why I did that is I know now that 4/5 is equivalent to 80%.

So 80% and 80%, we're comparing both.

They're actually equal to each other.

However, I could have started off by thinking of 80% as 80 out of 100 to start with, which has an equivalent or a simplified fraction of 8/10 first, which is then simplified further to be 4/5, and again, I can see that they are both equal to each other.

Here are some questions for you to try.

Pause the video to have a go.

Resume the video once you're finished.

Here are the answers.

How did you get on? If we look at question six, you can see that comparing decimals and percentages is not as straightforward as just comparing the digit values.

So be careful with that and make sure that you try and convert them into a similar format, so that you can then make sense of the values to compare.

That's all for this lesson.

Thanks for watching.