1. Fractions
Ordering Fractions
Chris Clements

2. LO: I can order fractions .
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Learning Objective:
LO: I can order fractions .

3. But often the numerators and denominators digits are different.
Ordering fractions
Ordering fractions would be easy if the denominators were always the same. 8 2 8 1 8 5 8 2 8 1 8 3 8 5 8 7 8 3 8 7
But often the numerators and denominators digits are different.

4. Why can we not order these fraction by the size of the numerator.4 3 8 2 8 3 8 5 8 1 2 1 8 7 8 7 4 1 8 3
Now, if you are asked to order this set of fractions from smallest to biggest things can look a little more complicated.
Why can we not order these fraction by the size of the numerator. 2 1 8 1 4 1 8 3 4 3 8 2 8 3 8 5 8 7 8 7

5. We could order them by using fractions of shapes;4 1 4 3 8 2 8 1 2 1 8 7 4 1 8 3 8 5 8 3 4 3 8 7 8 7

6. When we started this lesson we established that we could not order fractions by using the values of the numerator. This would be possible though if we found equivalent fractions to make all the denominators the same.
In this example it is possible to make each denominator equal to 8. Can you see how? 4 1 8 3 2 1 8 7 8 7 4 3 8 3 8 7 4 1 8 2 8 3 8 4 8 6 8 7 8 7 4 1 8 3 8 7

7. 4 1 7 1 3 5 2 10 4 20 Let’s have a look at another question;
Oder these fractions from smallest to biggest values? 4 1 7 1 3 5 2 10 4 20
The first step to success is to find a common denominator.
What do you think this means?
By using our understanding of multiples you can see that 2, 4, 5 and 10 are common multiples of 20.

8. We now know that we can make each of the denominators equal to 20.4 1 7 1 3 5 2 10 4 20 x4
x10 x2 x5
This brings us to our 2nd step to success. Convert the fractions so that they all of them have a common denominator.
Remember when multiplying a fraction: Multiply the numerator by the same number as the denominator. 16 10 14 5 3 20 20 20 20 20

9. Onto the final step to success; order the fractions from smallest to biggest.16 3 5 10 14 10 14 5 3 16 20 20 20 20 20 20 20 20 20 20 4 3 1 1 1 7 7 1 4 3 20 5 4 2 2 10 4 10 20 5

10. 1) 8 would be a common denominator
1) Find a common denominator
2) Convert the fractions (remember to multiply the numerator by the same number as the denominator).
3) Order fractions
Fractions of shape
Steps to success
1) 8 would be a common denominator 3 1 3 4 2 8
3) Order fractions
2) Convert fractions
X 2
X 4 3 1 3 6 4 3 8 2 4 8 8 8

11. Activity
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12. Order these fractions from smallest to biggest;
Plenary
Order these fractions from smallest to biggest; 2 1 10 7 4 20 3 9 17 5 2 1 10 7 4 20 3 17 5 9
Which fraction is largest?
Explain your answer. 1 1 2 3 5 1 3 6 3 4 20 5 4 15 20 15