1. 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015 http://creativecommons.org/licences/by/3.0/ Attribute to: Pierre Marchal (Lycée Jean-Piaget)

2. Objectives of the course By the end of the course, you should be able to: – Factorize the numerator and the denominator – Identify the common factors – Reduce the common factors – Multiply and divide fractions

3. Reduce Fractions To reduce fractions we common divide out factors

4. EXAMPLES OF APPLICATION

5. 3  8 3  5 = Remember : First factorize Identify the common factor Reduce the common factor 8 5

6. 6  8 6  3 = Remember : First factorize Identify the common factor Reduce common factor 8 3 Not allowed!

7. PRACTICE EXERCISES

8. Reduce the following fractions

9. Multiply / Divide Fractions First common Then multiply Division is the same, with one extra step at the start: by the divide out across multiply reciprocal factors

10. EXAMPLES OF APPLICATION

11.  = 9 25 Remember: Factorize first Before reducing Then multiply across

12.  = 1 4 Warning: when everything divides out the result is 1, not 0

13. Exercises

14. By the end of this course You are able to : – Factorize the numerator and the denominator – Identify the common factors – Reduce the common factors – Multiply and divide fractions

15. Any question ?

16. THANKS FOR YOUR ATTENTION See you on Monday and please learn your lesson !