© T Madas

23

45

x =

© T Madas

What is 45

23

x ?

0 15

25

35

45

1

13

23

1

815

815

=

© T Madas

What is of ?

Finding something of something always means

multiplication

34

27

© T Madas

What is of ?34

27

© T Madas

What is of ?34

27

© T Madas

What is of ?34

27

628

628

=

© T Madas

To multiply two fractions:

We multiply their numerators and denominators:

E.g. :

23

x 45

= 2 x 43 x 5

= 815

25

x 37

= 2 x 35 x 7

= 635

ab

xcd

=a x cb x d

© T Madas

To multiply two fractions:

We multiply their numerators and denominators:

E.g. :

23

x 4 = 23

x 41

= 83

= 2 23

34

x7 = 71

x 34

=214

= 5 14

37

x2 = 21

x 247

=487

= 6 67

3

34

x1 = 53

x 114

=5512

= 4 712

223

© T Madas

© T Madas

23

x 47

= 821

25

x 34

= 620

= 310

45

x 29

= 845

45

x 56

= 2030

= 23

15

x 58

= 540

= 18

23

x 29

= 427

45

x 38

= 1240

= 310

79

x 56

= 3554

43

x 58

= 2024

= 56

16

x 35

= 330

= 110

© T Madas

53

x 49

= 2027

25

x 74

= 1420

= 710

45

x 49

= 1645

310

x 118

= 3180

= 160

14

x 815

= 860

= 215

23

x 23

= 49

56

x 37

= 1542

= 514

13

x 710

= 730

43

x 512

= 2036

= 59

56

x 35

= 1530

= 12

© T Madas

5 x 59

= 259

25

x 94

= 1820

= 910

45

x 3 = 125

310

x 512

= 15120

= 18

6 x 815

= 4815

=165

23

x 27

= 421

58

x 47

= 2056

= 514

16

x 13= 136

83

x 516

= 4048

= 56

59

x 320

= 15180

= 112

© T Madas

© T Madas

23

x 47

= 821

25

x 34

= 620

= 310

45

x 29

= 845

45

x 56

= 2030

= 23

15

x 58

= 540

= 18

23

x 29

= 427

45

x 38

= 1240

= 310

79

x 56

= 3554

43

x 58

= 2024

= 56

16

x 35

= 330

= 110

© T Madas

53

x 49

= 2027

25

x 74

= 1420

= 710

45

x 49

= 1645

310

x 118

= 3180

= 160

14

x 815

= 860

= 215

23

x 23

= 49

56

x 37

= 1542

= 514

13

x 710

= 730

43

x 512

= 2036

= 59

56

x 35

= 1530

= 12

© T Madas

5 x 59

= 259

25

x 94

= 1820

= 910

45

x 3 = 125

310

x 512

= 15120

= 18

6 x 815

= 4815

=165

23

x 27

= 421

58

x 47

= 2056

= 514

16

x 13= 136

83

x 516

= 4048

= 56

59

x 320

= 15180

= 112

© T Madas

© T Madas

to find the area:5

86 123x =

538

72x =

37116

31623 cm2

= 37 116

2 3

5 3

A rectangle is 6⅝ cm long by 3½ cm wide.Calculate its area.

6⅝ cm

3½

cm

© T Madas

© T Madas

Ethan works day and night shifts in alternating weeks.He works:5 days for 7¾ hours per day during his “day-shift” week.5 nights for 6½ hours per night in his “night-shift” week.Calculate how many hours he works a fortnight.

Week 1:5 x 3

4 =7 5 x314 = 155

4 = 3438

Week 2:5 x 1

2 =6 5 x132 = 65

2 = 1232

Adding the two figures:3

438 1232+ =70 1

41+ = 1471

Ethan works 71¼ hours every fortnight

© T Madas

© T Madas

There is of the original amount left

1. What fraction of the original amount of juice remains in the carton?

2. Who drunk the most juice? [you must show full workings]

Tony drank of a full carton of orange juice.

His sister Alice drank of what was left.

13

34

If Tony drank of a full carton there is of a full carton left.

Therefore Alice drank of of a full carton

The operation that finds “something” of “something” is:multiplication

13

34

23

23

34

23x = 6

1212= Alice drunk half the carton

13

12+

x 2

x 2= 2

636+ = 5

6

x 3

x 3

16

[who drank the most?]

© T Madas

Let us solve the problem pictorially

Tony drunk of a full carton

Alice drunk of what was left

We are left with of a full carton

Tony drunk of a full carton

Alice drunk of a full carton

Which is the same as

1334

16

1336

12

1. What fraction of the original amount of juice remains in the carton?

2. Who drunk the most juice? [you must show full workings]

Tony drank of a full carton of orange juice.

His sister Alice drank of what was left.

13

34

© T Madas