Which fraction is greater?

Which statement is true?

Sam and Katie walk different routes to school as shown in the diagram. Who walks the greater distance?

Comparing two fractions

﻿Hi, I'm Mr. Chan. And in today's lesson, we're going to learn about ordering three or more fractions. Let's look at comparing two fractions to begin with. One method is compare two fractions by using equivalent fractions, especially when the denominators are not the same. Here we're trying to compare 3/5 and 10/15. So what we can do with this is look at 3/5, think about creating an equivalent fraction with the same denominator 15ths, and what we would do there is multiply the numerator and denominator of 3/5 to create an equivalent fraction 9/15. When we compare 9/15 and 10/15, we can clearly see that the denominator is the same now. So we can compare the size of the numerator and see that 9/15 is actually less than 10/15. So back to our original question. Therefore, we can say 3/5 is less than 10/15. Here's some questions for you to try, pause the video to complete the task, resume with the video once you're finished. Here are the answers for the first question. You'll have found that three of the card statements are actually correct. And one of the cards statements is incorrect. The card statement that is incorrect is shown, 4/5 is not less than 12/15. When you compare those two, you will actually have found that those are equivalent fractions and they are equal to each other. Let's look at writing fractions in ascending order. We've got an example here with three fraction cards, ascending order means starting with the smallest. So we can notice that all these fractions have a denominator of seven. So when we think about those fractions as fractions of a whole, they've all been split up into the same number of parts, sevenths. So in this case, it's just a straightforward method of comparing the numerators. When we look at the numerators and put them into ascending order, we get this order. We start with 2/7, then 3/7, then 5/7. That would be the order in ascending order. Here's some questions for you to try. Pause the video to complete the task, resume the video once you're finished. Here are the answers. You'll notice that in this question, each list of fractions have the same denominator. That means the whole has been split into the same number of parts. So this question is pretty straightforward. If that's the case, what you can then do, is just compare the size of the numerator to compare the fraction paths. As you can see the answer is there, hopefully you got all of those correct. Here's another example. We're going to write these three fractions into ascending order again. We've got 5/9, 2/3 and 1/3. What I notice is that the denominators are not the same this time, so it's not so straightforward to compare them. One method is to use equivalent fractions. So looking at the denominators, I've got nine, three and three. So common multiple for those denominators would be nine. So what I'm going to try and do is write each fraction as an equivalent fraction with ninth, as the denominator. 5/9 is already ninth, so I don't need to do anything with that one. 2/3, I can write as an equivalent fraction by multiplying the numerator and denominator by three, to get 6/9. 1/3 similarly, I'm going to multiply the numerator and denominator by three to try and get in the fraction with ninths. So 1/3 is equivalent to 3/9. Once I've got that, I can compare the numerators now. We've got 5/9, 6/9 and 3/9. And co-writing those into ascending order would give this result, which start with 1/3, then 5/9 and finally 2/3. And those are now written in ascending order. Here's some questions for you to try, pause the video to complete the task, resume the video once you're finished. Here are the answers for question three. How many did you get correct? Here's another question for you to try. Pause the video to complete the task, resume the video once you're finished. Here's one answer for question four. There's more than one answer, so let's see how many you can find. That's all for this lesson, thanks for watching.

Use <, > or = to make the statement correct.

Put these fractions in order of size starting with the smallest.

Ordering three or more fractions

In this lesson, we will use our knowledge of equivalent fractions to compare them and organise groups of fractions in ascending and descending order of size using the 'greater than' and 'less than' symbols.

Maths

Y10 Maths (Foundation)

Key Stage 4

Year 10

Fraction equivalents

Number (N)

THEME

UNIT

Equivalent Fractions

Simplifying Fractions

Which diagram shows one quarter shaded?

Which fraction statement is true?

David writes many equivalent fractions down as shown. What mistake has David made?

What is the missing number for this pair of equivalent fractions?

Which fraction shows two quarters simplified fully?

Which fraction has been simplified correctly and fully?

James wants to simplify the shown fraction fully. What advice would you give him?

Lesson overview:Ordering three or more fractions

Fraction equivalents: