Transcript

NARRATOR:

Take 2/3. Can you think of any other fractions which are equivalent to this? Well, to do this, it's first helpful to visualise what 2/3 is. So let's draw a box, which we would divide into three equal sections. And so, 2/3 would equal two of those three equal sections.

So now, there are a couple of things you can do to find equivalent fractions of 2/3. You can take the box and draw a horizontal line across the whole box to divide each of the three sections into two parts. So now, how many equal sections do we have? We have six equal sections. And how many of those equal sections are shaded in now? We can see four of those sections are shaded in.

So here, we can see that 4/6 is the exact same fraction of the whole as 2/3. These are equivalent fractions. We can say that 2/3 is equal to 4/6.

And now, let's find another equivalent fraction of 2/3. Instead of dividing each of the three pieces into two parts, we can divide these into three parts.

So, I can draw two more horizontal lines here. So now, I have divided what was in three equal parts into three times as many parts. I now have nine equal parts. And how many of those are shaded in? We have six shaded in. So 2/3 is equal to 4/6, which is also equal to 6/9. All three of those are equivalent fractions.

Now, take this second example. Say you have 6/10. This can be shown as a block of 10 equal sections with six shaded in. If you were to pair each square up so that there were only five pieces all together, you can see that there are now only three blocks painted. But it still covers the same area. We then know that 6/10 is equal to 3/5.