1. 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

2. Learning Objective: LO: I can convert improper fractions into mixed numbers.

3. What is a proper fraction? In a proper fraction the numerator is less than the denominator 1 4 2 3 4 5 3 10 3 8 What do you think an improper fraction is?

4. An improper fraction is where the numerator is more than the denominator. 7 4 8 3 22 5 13 10 15 8 Here are some examples of improper fractions. These fractions are also called Top Heavy Fractions.

5. Do you know what mixed numbers are? A mixed number is a whole number and a proper fraction. Whole numbers are counting numbers like 1,2,3... A proper fraction is when the numerator is less than the denominator 1 4 1 3 4 5 31 1 Are examples of mixed numbers

6. In this lesson we will learn to convert improper fractions into mixed numbers. In each of these shapes what is the value of each square? Give your answer has a fraction. How many sixths are there altogether? 17 6 What is the mixed number? 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6

7. 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1) Step to success is to find how much of the improper fraction is whole or 17 6 So how can we convert improper fractions into mixed number? 5 6 2 1 6 1 6 A good way to do this is to turn the improper fraction into a division sum. 17 6 17 ÷ 6 Remember you are always going to get a remainder if the improper fraction can convert into a mixed number.

8. Now we know how many whole numbers are in the mixed number. 17 ÷ 6 Step 2: Carry out the calculation 17 ÷ 6 = 2 r5 5 What was the remainder? What was the denominator in the improper fraction? 6 5 6 17 6 5 6 2 = Step 3: Find the proper fraction

9. Let’s have a look at converting more improper fractions into mixed numbers. 13 ÷ 3 = 4r 1 13 3 1 3 4 = 37 ÷ 5 = 7 r2 37 5 2 5 7 = 29 ÷ 4 = 7 r1 29 4 1 4 7 = 25 ÷ 8 = 3 r1 25 8 1 8 3 =

10. Step 1) Change the improper fraction into a division sum Step 2) Carry out the calculation Step 3) Find the proper fraction Fractions of shape Steps to success 17 ÷ 6 = 17 ÷ 6 = 2 r5 5 6 17 6 5 6 2 = =

11. Activity

12. Plenary Order these fractions from smallest to biggest. Order these fractions from biggest to smallest. 7 6 1 3 2 3 1 4 3 5 6 1 15 4 3 4 1 1 2 2 7 2 1 4 2 1 3 2 2 4 3 5 6 1 3 4 1 1 2 2 7 2 1 4 2