MALT©2006 Maths/Fractions Slide Show : Lesson 4 Fractions Lesson 4 Simplifying fractions MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 WALT : find an equivalent fraction which uses the lowest numbers. MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Simplifying is like finding an equivalent fraction. MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 For example, let’s think of an equivalent fraction for …… 6 10 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 So remember, what ever we do to the top number we must do to the bottom number. 6 10 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 So here’s an equivalent fraction…… let’s multiply top and bottom by 3….. times 3 18 30 6 10 times 3 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 To simplify a fraction we must change it. 18 30 6 10 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Change it to the smallest numbers possible. 18 30 6 10 Oops, this is not using the smallest numbers . . . . MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 So let’s try dividing. 6 10 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 But by what ? 6 10 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 So let’s try dividing. Divide by 2 6 10 Divide by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 So let’s try dividing. Divide by 2 3 5 6 10 Divide by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Yes. We have simplified this fraction. 3 5 6 10 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Here’s another 8 14 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Chat. Think. 8 14 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Can we divide 8 and 14 by 5? NO 8 14 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Can we divide 8 and 14 by 7? NO 8 14 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Can we divide 8 and 14 by 2? yes 8 14 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Can we divide 8 and 14 by 2? divide by 2 4 7 8 14 divide by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 And that’s simplifying 4 7 8 14 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Even when large numbers are involved, you still follow the same rules. 18 36 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Even when large numbers are involved, you still follow the same rules. Let’s try dividing by 2 18 36 9 18 Let’s try dividing by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 But we’re not there yet! We can simplify further. We can make these numbers smaller Let’s try dividing by 2 18 36 9 18 Let’s try dividing by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 What can we divide 9 and 18 by? Let’s try dividing by 2 18 36 9 18 Let’s try dividing by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Guess and check . . . . By 4 ? By 5 ? Let’s try dividing by 2 18 36 9 18 Let’s try dividing by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Start with the top number itself. Let’s try dividing top and bottom by 9 Let’s try dividing by 2 18 36 9 18 Let’s try dividing by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Start with the top number itself. Let’s try dividing top and bottom by 9 Let’s try dividing by 2 Let’s try dividing by 9 18 36 9 18 1 2 Let’s try dividing by 2 Let’s try dividing by 9 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 It doesn’t matter how many steps you take. You keep dividing until you can’t divide any more. Let’s try dividing by 2 Let’s try dividing by 9 18 36 9 18 1 2 Let’s try dividing by 2 Let’s try dividing by 9 MALT©2006 Maths/Fractions Slide Show : Lesson 4

MALT©2006 Maths/fractions Slide Show : Lesson 4 Try these in your jotter 12 27 18 72 32 48 6 12 18 36 (a) (b) (c) (d) (e) 24 32 15 35 54 81 10 18 4 16 (f) (g) (h) (i) (j) 4 12 9 36 16 40 10 50 12 36 (k) (l) (m) (n) (o) Simplify them MALT©2006 Maths/fractions Slide Show : Lesson 4

MALT©2006 Maths/fractions Slide Show : Lesson 4 answers 4 9 1 4 2 3 1 2 1 2 (a) (b) (c) (d) (e) 3 4 3 7 2 3 5 9 1 4 (f) (g) (h) (i) (j) 1 3 1 4 2 5 1 5 1 3 (k) (l) (m) (n) (o) answers MALT©2006 Maths/fractions Slide Show : Lesson 4

MALT©2006 Maths/Fractions Slide Show : Lesson 4 Fractions Lesson 4 Simplifying fractions End of this lesson MALT©2006 Maths/Fractions Slide Show : Lesson 4