2. Fractions + & – Mixed Numbers Can you simplify the following with ease? 1 5 / 6 + 2 3 / 4 or 2 7 / 8 - 1 2 / 3 If not then run through this slide show, following each step carefully!

3. 1 5 / 6 + 2 3 / 4 n Step 1 n Simplify the whole numbers first n 1 + 2 + 5 / 6 + 3 / 4 n = 3 + 5 / 6 + 3 / 4

4. 3 + 5 / 6 + 3 / 4 n Step 2 n Continue as before :- n Convert all fractions into ? / 12 n 5 / 6 = 10 / 12 and 3 / 4 = 9 / 12 n 3 10 / 12 + 9 / 12

5. 3 10 / 12 + 9 / 12 n Step 3 n Simplify by simple addition or subtraction n 3 19 / 12

6. 3 19 / 12 n Step 4 n Simplify your answer, converting where necessary to a mixed number n 4 7 / 12

7. What actually appears in your working? n 1 5 / 6 + 2 3 / 4 n = 3 10 / 12 + 9 / 12 n = 3 19 / 12 n = 4 7 / 12

8. Subtraction is similar! n = 1 7 / 8 - 2 / 3 Express with common denominator = 1 21 / 24 - 16 / 24 Simple subtraction = 1 5 / 24 This time no need to simplify 2 7 / 8 - 1 2 / 3 Think - Don’t Write Simplify whole numbers first

9. Let’s try another ! n = 2 2 / 3 + 3 / 4 - 5 / 6 Express with common denominator = 2 8 / 12 + 9 / 12 - 10 / 12 Simple addition &subtraction = 2 7 / 12 Again no need to simplify Notice how handling three fractions was nearly as easy as two 3 2 / 3 + 1 3 / 4 - 2 5 / 6 Think - Don’t Write Simplify whole numbers first

10. Next Steps : Practice n Exercise 1 n 1. 2 2 / 5 + 1 7 / 10 2. 2 3 / 4 - 1 2 / 3 3. 3 2 / 3 + 1 5 / 8 4. 3 3 / 4 - 1 2 / 5 n 5. 2 5 / 6 - 1 3 / 4 6. 3 4 / 5 - 1 1 / 3 7. 1 1 / 2 + 2 9 / 10 8. 2 5 / 8 - 1 2 / 5 n 9. 1 / 6 + 3 / 4 + 2 / 3 10. 3 / 4 - 2 / 3 + 5 / 6 11. 2 / 3 + 5 / 8 - 3 / 4 n 12. 4 / 5 - 3 / 10 + 3 / 4 13. 3 / 8 + 2 / 3 + 1 / 2 14. 2 / 3 + 5 / 6 - 1 / 9 n Answers n 1. 4 1 / 10 2. 1 1 / 12 3. 5 7 / 24 4. 2 7 / 20 5. 1 1 / 12 6. 2 7 / 15 7. 4 2 / 5 n 8. 1 9 / 40 9. 1 7 / 12 10. 11 / 12 11. 13 / 24 12. 1 1 / 4 13. 1 13 / 24 14. 1 7 / 18