1. Equivalent Fractions One Whole 1

2. Equivalent Fractions Cut them in half

3. Equivalent Fractions Shown is one half 1 2 How many pieces we want How many pieces its cut into

4. Equivalent Fractions Shown is one half 1 2 NUMERATOR DENOMINATOR

5. Equivalent Fractions I cut my shape again I still show 1 2

6. Equivalent Fractions But I also show 2 4

7. Equivalent Fractions One half is EQUIVALENT TO 2 quarters 12 24

8. Equivalent Fractions 1224 This symbol looks like an equals sign with a third line. It is the mathematical sign for EQUIVALENT TO - which means is worth the same as.

9. Equivalent Fractions We can use equivalent fraction to make our numbers easier to handle. Smaller numbers are SIMPLE 160200162045 ÷ 10 ÷ 4

10. Equivalent Fractions This fraction is as simple as we can make it 16020045 We can use different language for making the fraction as small as possible. Watch out for this language in the future. It is often used in Key Stage 3. Simplest form Lowest terms Simplified Cancelled down

11. Equivalent Fractions 1545 6080 Look for numbers that both the NUMERATOR and the DENOMINATOR can be divided by. We want numbers bigger than 1. We call these COMMON FACTORS

12. Equivalent Fractions 1545 ÷ 3 6080 ÷ 10 These numbers have 3 as a common factor. This means they can both be shared by 3. A common factor here is 10

13. Equivalent Fractions 1545515 ÷ 3 608068 ÷ 10

14. Equivalent Fractions 1545515 ÷ 3 ÷ 5 608068 ÷ 10 ÷ 2

15. Equivalent Fractions 154551513 ÷ 3 ÷ 5 60806834 ÷ 10 ÷ 2

16. Equivalent Fractions 154513 608034 If the top number is a 1, we know we can stop. If the top and bottom number are not DIVISIBLE by the same number, we stop.

17. Equivalent Fractions 154513 608034 They have no FACTORS in common other than 1