1. Starter
Simplify these fractions
12 16
56 91
44 55
57 76

2. Starter
Simplify these fractions
3 4
8 13
11 12
4 5
3 4

3. Mixed Numbers and Improper Fractions
Thursday, 22 November 2018
Mixed Numbers and Improper Fractions
Objectives :
To convert a mixed number to an improper fraction
To convert an improper fraction into a mixed number

4. Mixed Numbers and Improper Fractions
Here is 1 and
If we count the thirds here we have 5 thirds.
So = 5 3
5 3 is called an improper fraction. This is a posh way of saying that the numerator is greater than the denominator.

5. Mixed Numbers and Improper Fractions
Here is 2 and
How many fifths do we have?
13.
So = 13 5

6. 2 3 5 2 3 5 = 2×5 +3 5 = 13 5 Mixed Numbers and Improper Fractions
Let’s find a way to do this without drawing out the bars every time.
2 3 5
If we’re counting in fifths, one whole is five fifths, so two wholes must be ten fifths.
2 3 5 = 2× = 13 5

7. Mixed Numbers and Improper Fractions
Ex1: Whole class. What is the animal hiding behind the fractions? Convert the mixed fraction find out!
1 3 4
3 1 2
7 4 7
1 4 7
2 1 6
2 4 5
2 1 2
1 6 7
1 1 3
1 1 7
1 5 6
2 2 3
3 1 5
3 1 4
3 6 7
Note: this is a revealer. Ask for answers. When a child names a box and gives you the correct answer, click on the box.
2 3 7
1 3 5
2 5 7
3 2 5
1 2 7

8. Mixed Numbers and Improper Fractions
Ex2. Convert these mixed numbers into improper fractions.
2 1 7
2 2 5
1 1 2
3 3 4
1 2 3
2 1 3
1 4 7
1 4 5
1 1 5
2 6 7
3 1 6
1 3 5
2 5 7
3 2 3
3 5 6
2 1 2
1 1 6
3 1 3
2 2 3
3 3 7
BrainBox Extension:
𝑥 𝑦 10

9. Mixed Numbers and Improper Fractions
Ex2. Convert these mixed numbers into improper fractions.
15 7
12 5
3 2
15 4
5 3
7 3
11 7
9 5
6 5
20 7
19 6
8 5
19 7
11 3
23 6
5 2
7 6
10 3
8 3
24 7
BrainBox Extension:
10𝑥+𝑦 10

10. 17 5 =3 2 5 Mixed Numbers and Improper Fractions
How about we work the other way?
17 5 =3 2 5
What is as a mixed number?
We can again use diagrams. Here’s 5 fifths.
Here’s another 5 fifths. Now we have 10 fifths. This is the same as 2 wholes.
Here’s another 5 fifths. Now we have 15 fifths. This is the same as 3 wholes.
We have 15 fifths. We need to add 2 more to make 17.

11. 17 5 17 5 =(17÷5) 𝑟 5 =3 2 5 Mixed Numbers and Improper Fractions
Let’s find a way to do this without drawing out the bars every time.
17 5
If we’re counting in fifths, a whole is 5 fifths. So to find out how many wholes we have, we divide by 5. In this case 17 divided by 5 is doesn’t divide nicely by 5, though. We have a remainder of 2. We have 2 fifths left over.
17 5 =(17÷5) 𝑟 5 =3 2 5

12. A B C D Mixed Numbers and Improper Fractions 𝟓 𝟒 𝟏𝟗 𝟔 𝟐𝟔 𝟓 𝟐𝟑 𝟑 𝟐𝟎 𝟕
Let’s try some questions. The best way to learn is by doing! Convert these to mixed numbers and find the odd one out. A B C D
𝟓 𝟒
𝟏𝟗 𝟔
𝟐𝟔 𝟓
𝟐𝟑 𝟑
𝟐𝟎 𝟕
𝟒 𝟑
𝟗 𝟓
𝟏𝟎 𝟕
𝟕 𝟑
𝟏𝟕 𝟒
𝟏𝟓 𝟕
𝟏𝟗 𝟗
𝟏𝟏 𝟑
𝟐𝟖 𝟓
𝟒𝟏 𝟔
𝟖𝟖 𝟗

13. A B C D Mixed Numbers and Improper Fractions 1 𝟏 𝟒 𝟑 𝟏 𝟔 𝟓 𝟏 𝟓 𝟕 𝟐 𝟑
Let’s try some questions. The best way to learn is by doing! Convert these to mixed numbers and find the odd one out. A B C D
1 𝟏 𝟒
𝟑 𝟏 𝟔
𝟓 𝟏 𝟓
𝟕 𝟐 𝟑
A. All the others start with a prime number
2 6 7
1 1 3
1 4 5
1 3 7
A. All the others start with 1
2 1 3
4 1 4
2 1 7
2 1 9
B. All the others have two wholes
3 2 3
5 3 5
6 5 6
9 7 9
C. All the others have an odd number of wholes

14. Equivalent Fractions 5 QUICK QUESTIONS CHECK
Now it’s time to check your learning.
You’ll see five questions.
They all have a 30 second timer.
How many can you get right?

15. 3 1 2 Convert to an improper fraction Equivalent Fractions Timer
Question 1
Convert to an improper fraction
3 1 2
Timer

16. 7 5 7 Convert to an improper fraction Equivalent Fractions Timer
Question 2
Convert to an improper fraction
7 5 7
Timer

17. Equivalent Fractions
Question 3
Convert to a mixed number
11 2
Timer

18. Equivalent Fractions
Question 4
Convert to a mixed number
32 9
Timer

19. Equivalent Fractions
Question 5
Which is bigger
20 7 𝑜𝑟 3 1 3
Timer

20. Equivalent Fractions
Your answers:
7 2
54 7
5 1 2
3 5 9
3 1 3

21. Problem Solving Some pizzas
Damon cuts his pizzas into eights. He eats 2 whole pizzas and 3 slices
Brett cuts his pizzas into fifths. He eats 12 slices.
Who ate more? Justify it.

22. Problem Solving 2 3 8 𝑜𝑟 12 5 19 8 𝑜𝑟 12 5 95 40 𝑜𝑟 96 40 Some pizzas
Damon cuts his pizzas into eights. He eats 2 whole pizzas and 3 slices
Brett cuts his pizzas into fifths. He eats 12 slices.
𝑜𝑟 12 5
19 8 𝑜𝑟 12 5 𝑜𝑟