A short instructional transcript by Rebecca explaining how to find equivalent fractions using multiplication. She demonstrates using paper strips and bar models that multiplying numerator and denominator by the same number yields equivalent fractions (e.g., 1/2 = 2/4 = 3/6; 3/4 = 6/8 = 9/12), mentions using missing-numerator problems, and links the idea to simplifying fractions for later study.
Chapters
Hi, I'm Rebecca. And in this film we're looking at finding equivalent fractions using multiplication. Now, in the early stages, it's really important that pupils explore this using models and images. And here I have a fraction rule. And this will help pupils to see links between the fractions. For example, we know that one half is equal to 2/4 and 3/6. You'd want to be encouraging people to see a link that, say, with three, six and one half, that the numerator and the denominator have been multiplied by the same number, which is three. You can let them explore this using paper strips. I've represented one here. This shows a half, and you could ask people to explore what would happen if they turned it into quarters. By dividing it into quarters, they've turned their fraction into two quarters and they can see that they've multiplied the numerator and the denominator by two. You can do this again with a bar model. Here we have three quarters. You can ask pupils to divide each part into two equal parts. So with this one, we're actually turning our 3/4 into 6, 8. And the numerator and the denominator have been multiplied by two. On this bar here, we have three quarters again. This time you could ask them to see what happens when they put each part into three. And by doing this, they've turned their three quarters into nine twelfths and multiplied the numerator and the denominator by three. Once they've got hold of this concept, you can give them more challenging examples, like this one here, where we have a missing numerator. And actually, children need to see the link between multiplication and division, and this will really help them when they come on to simplifying fractions, which we will explore later. So there's lots of different ways of exploring equivalence using multiplication.
