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Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 15 8 8 3

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

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

4¾ Chris Clements

Fractions

Converting Improper Fractions into Mixed Numbers

158

83

Page 2: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

<date>

Learning Objective:

LO: I can convert improper fractions into mixed

numbers.

Page 3: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

What is a proper fraction?

In a proper fraction the numerator is less than the denominator

14

23

45

310

38

What do you think an improper fraction is?

Page 4: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

An improper fraction is where the numerator is more than the

denominator.

74

83

225

1310

158

Here are some examples of improper fractions.

These fractions are also called Top Heavy

Fractions.

Page 5: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

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 14

13

4531 1 Are examples

ofmixed numbers

Page 6: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

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?

176

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

16

Page 7: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

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

or176

So how can we convert improper

fractions into mixed number?

562

1

6

1

6

A good way to do this is to turn the improper fraction into a division sum.

176 17 ÷

6

Remember you are always going to get a remainder if the improper

fraction can convert into a mixed number.

Page 8: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

Now we know how many whole numbers are in the mixed number.

17 ÷ 6

Step 2: Carry out the calculation

17 ÷ 6 = 2 r5

5What was the remainder?

What was the denominator in the improper fraction?

656

176

562=

Step 3: Find the proper fraction

Page 9: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

Let’s have a look at converting more improper fractions into mixed numbers.

13 ÷ 3 = 4r 1

133

134=

37 ÷ 5 = 7 r2

375

257=

29 ÷ 4 = 7 r1

294

147=

25 ÷ 8 = 3 r1

258

183=

Page 10: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

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

56

176

562==

Page 11: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

Activity

<type here>

Page 12: 4½ 4¾ Chris Clements Fractions Converting Improper Fractions into Mixed Numbers 6½ 15 8 8 3

Plenary

Order these fractions from smallest to biggest.

Order these fractions from biggest to smallest.

76 132 31 43 561

154

341 1

22 72

142

1322 4

3561

341 1

22 72

142