The document discusses equivalent fractions and provides examples of finding equivalent fractions by adding the same number to both the numerator and denominator. It also covers ordering fractions by finding a common denominator and writing fractions with the same denominator. Examples are given of ordering fractions and finding missing numerators or denominators of equivalent fractions.

1. YEAR 11 MATHS Equivalent fractions

2. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 2 4

3. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 3 6

4. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 4 8

5. What is an equivalent fraction The shaded portion is 1 2 1 is the same as 2 3 4 5 and so on 2 4 6 8 10 2 3 4 5 and so on are called equivalent fractions of 1 4 6 8 10 2

6. The quick way to find equivalent fractions Take the fraction 1 2 The numerator = 1 . The denominator = 2 Keep adding 1 to the numerator Keep adding 2 to the denominator Add 1 Add 2 Add 1 Add 1 Add 1 Add 1 Add 2 Add 2 Add 2 Add 2

7. Finding equivalent fractions. Examples Take the fraction 1 3 The numerator = 1 . The denominator = 3 Keep adding 1 to the numerator Keep adding 3 to the denominator Add 1 Add 3 Add 1 Add 1 Add 1 Add 1 Add 3 Add 3 Add 3 Add 3

8. Finding equivalent fractions. Examples Take the fraction 2 3 The numerator = 2 . The denominator = 3 Keep adding 2 to the numerator Keep adding 3 to the denominator Add 2 Add 3 Add 2 Add 2 Add 2 Add 2 Add 3 Add 3 Add 3 Add 3

9. Equivalent fractions. Now consider these two Multiply by 5 Add 3 Add 2 Multiply by 5 Q. What number is ? 3 multiplied by 10 to make 30. So multiply 2 by 10 to get = 20

10. Equivalent fractions. What are the missing numerators?

11. Equivalent fractions Use the same approach to find the missing denominators of equivalent fractions

12. Writing different fractions with t Use the same approach to find the missing denominators of equivalent fractions

13. Writing different fractions with the same denominators Take the fractions 1 and 1 2 3 Now And The fractions with the same denominators are arrowed. The smallest common denominator is 6. So we have

14. Writing different fractions with the same denominators As 3 parts out of 6 is bigger than 2 parts out of 6 is bigger than This is how we know is bigger than

15. Writing different fractions with the same denominators Take the fractions 1 1 and 1 2 3 4 Now The fractions with the smallest same denominator is arrowed.

16. Ordering fractions Order the fractions 1 1 and 1 2 4 3 We know: 6 out of 12 is biggest, 4 out of 12 is next, then 3 out of 12 So the order is

17. Classwork Ex A page 366 Q1 Q4 Q6 Q7

18. Harder ordering of fractions Order the fractions 1 1 and 2 2 3 5 Rather than work out equivalent fraction lists – which will here take a long long time! - we use a short cut. Step 1 : Multiply all 3 denominators = 2 x 3 x 5 = 30 Step 2 : Find the fractions equivalent to the one with denominator 30 So . biggest smallest middle

19. Classwork Ex A P 366 Q3 Ex B p 368 Q1 Q2 Q4