www.mathsrevision.com extension 10-jan-16compiled by mr. lafferty maths dept. fractions multiplying...

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21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

FractionsFractionsw

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Dividing Basic Fractions

Multiplying Mixed Fractions

Dividing Mixed Fractions

Mix of ALL 4 Operations

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Starter Starter QuestionsQuestions

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24 , 3 2

5

3 14 3

(2 )

56

x y and z z z xy

1. Calculate

2. I f . Find

3. Calculate 60% of £360

4. Make the following top- heavy

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Multiplying Multiplying FractionsFractions

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1.1. Understand the simply Understand the simply rules for multiplying rules for multiplying basic and mixed basic and mixed fractions.fractions.

1. We are learning how to multiply basic and mixed fractions.

2.2. Apply rules correctly.Apply rules correctly.

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Example Example

Multiply basic fractions

3 34 5

9

20

4 55 6

2030

23

1. Multiply the numerators

2. Multiply the denominatorsIs there a quicker way !

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Example

Multiply basic fractions

4 5 35 6 7

60210

27


2. Multiply the denominators

Is there a quicker way !

÷30

÷30

1 2 1

2 3 4V

21 Apr 2023 Compiled by Mr. Lafferty Maths Dept.

A cuboid has the dimensions shown.Calculate volume.

2

3m

1

2m

1

4m

÷2

÷2

2

24 31

12m



Frances and Linda share a pizza. Frances eats a ¼ of it. Linda eats ½ of what is left.What fraction did Linda eat ?

1 3

2 4

3

8

Pizza left =1 3

14 4

Linda eats =

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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try TJ3bEx 1

Q1 to Q5Ch8 (page 75)

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FractionsFractions

Are you on Target ?I can ?

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1. Make fractions top-heavy

Multiplying Mixed Fractions



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1 13 1

2 3

7 42 3

286

4

46

Example

24

3





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3 1

4 14 5

19 64 5

11420

14

520

Example

7

510






Stuart weighs 1½ times as much as Desmond.Desmond weighs 39¾ kgs.How much does Stuart weigh ?

1 31 39

2 4

3 159

2 4

477

8

559

8 kgs

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Now try TJ3bEx 1

Q6 onwardsCh8 (page 76)

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FractionsFractions


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Starter QuestionsStarter Questionsw

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1

3 (4 -3 ) - 12

1 132 3

2 33 2

a a b ab

1. Calculate

2. Simplify

3. Multiply

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Dividing FractionsDividing Fractionsw

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1. We are learning how to divide basic and mixed fractions.

1.1. Understand how the Understand how the simply rules for dividing simply rules for dividing basic and mixed basic and mixed fractions.fractions.

2.2. Apply rules correctly.Apply rules correctly.

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Always = 1

Dividing FractionsDividing Fractions

It is almost impossible to divide fractions like

by actually dividing.

Instead we change it into a multiplication by:

2335

2 53 33 55 3

2 53 3

109

1

19

2 33 5

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Easy rule to remember :

Example Example

Instead of dividing by , multiply by ab

ba

5 28 3

35

8 2

1516

4 55 6

64

5 5

2425


How many ⅜ are in ¾ ?

3 8

4 3

24

12

3 3

4 8

2


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Now try TJ3bEx 2

Q1 to Q3Ch8 (page 77)

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FractionsFractions


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For mixed fractions YOU MUST make them top-heavy first !!

Example

1 13 2

2 3

7 72 3

37

2 7

2114

3 1

12 2

Instead of dividing by , multiply by ab

ba


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Example 2 3 23 1

4 3

15 54 3

3154 5

4520

52

20

12

4


36 5

5 18


36 18

5 5

180

90

1 37 3

5 5x

2


Area = l x b

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Now try TJ3bEx 2

Q4 onwardsCh8 (page 78)

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FractionsFractions


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Dividing FractionsDividing Fractionsw

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1. We are revising all 4 operations for fractions including basic and mixed fraction..

1.1. Understand the rules Understand the rules fractions.fractions.

2.2. Apply rules correctly to Apply rules correctly to solve problems.solve problems.

1 11 1

2 4

Multiplication

15

1 1

2 3

Adding

Basic Rules of Fraction

Simple fractions

2 1

3 2

Subtracting

1 3

2 5

Multiplication

1 4

2 5

Division

1 5

2 4

61

65 3

10

58

Flip and change

the sign

Harder fractions1 1

2 12 3

Subtracting

61

Deal with whole numbers

first

12 1

3 2 1

Same idea for addition

1 21 1

2 3

Division

3 3

2 5 9

10

Top-heavy first 3 5

2 3

Flip and change

the sign

8

Top-heavy first 3 5

2 4 8

71

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Now try TJ3bEx 3

Ch8 (page 79)

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FractionsFractions


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