MathsFractions

Maths | Year 5 | Fractions | Mixed Number and Improper Fractions | Lesson 1 of 2: Converting Fractions

Success Criteria

Aim• I can convert between mixed numbers and improper fractions.

• I can identify improper fractions and mixed numbers.

• I can represent improper fractions and mixed numbers as diagrams.

• I can convert improper fractions into mixed numbers and vice versa.

Odd One OutWhich is the odd one out? Why?

75100

912

0.75

34

34

34

34

34

23

Odd One OutWhich is the odd one out? Why?

2050

1230

0.4

25

25

13

25

25

25

Proper FractionsAll these fractions have numerators that are smaller than their denominators.

This means that they are all less than 1.

They are called proper fractions.

12

34

59

2540

Can you write down three more different proper fractions?

Improper FractionsAll these fractions have numerators that are larger than their denominators.

This means that they are all more than 1.

They are called improper fractions.

42

104

159

5040

Can you write down three more different improper fractions?

Mixed Number FractionsA mixed number fraction is a whole number and a fraction combined into one ‘mixed’ number.

342

In a mixed number fraction, the whole

number has the same number of parts as the denominator of

the fraction.

Improper to Mixed NumberImproper fractions can also be written as a mixed number fraction as they are equivalents.

114

There are eleven parts altogether.

In this fraction, every whole is

made of four parts.

We can see that the equivalent mixed number fraction is two

wholes and three parts.

1 2 3 4

5 6 7 8

9 10 11 342

Think about how many times 4 multiples into 11.

Converting Challenge 1Have a go at changing these improper fractions into their mixed number equivalents.

83

72

75

1 2 3

4 5 6

7 8

1 2

3 4

5 6

7

1 2 3 4 5

6 7

232 1

23 251

Mixed Number to ImproperMixed number fractions can also be written as an improper fraction as they are equivalents.

563 23

6

In this mixed number, every whole is made of six parts.

Think about how many parts there will

be altogether if we calculate 3 × 6.

In this mixed number, there are five parts of a whole.

1 2 3 4 5 6

7 8 9 10 11 12

13 14 15 16 17 18

19 20 21 22 23

Think about how many parts there

will be altogether if we add five more parts of a whole.

Converting Challenge 2Have a go at changing these mixed number fractions into their improper fraction equivalents.

1 2 3 1 2 3 4 51 2

5

133 1

22 35410

3

4 5 6

7

3 4 6 7 8 9 10

11 12 13 14 15

16 17 18 19 20

21 22 23

52

235

Converting Fractions

Bingo

Success Criteria

Aim• I can convert between mixed numbers and improper fractions.

• I can identify improper fractions and mixed numbers.

• I can represent improper fractions and mixed numbers as diagrams.

• I can convert improper fractions into mixed numbers and vice versa.