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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)

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Reduce Fractions To reduce fractions we common divide out factors

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Page 1: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

1MPES2Reduce Fractions

Multiply and Divide on

Ecole Supérieure de Commerce de Neuchâtel

Pierre Marchal17.09.2015

http://creativecommons.org/licences/by/3.0/Attribute to: Pierre Marchal (Lycée Jean-Piaget)

Page 2: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

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

Page 3: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

Reduce Fractions

• To reduce fractions we

common

divide out

factors

Page 4: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

EXAMPLES OF APPLICATION

Page 5: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

3 83 5

=

Remember :First factorize Identify the common factorReduce the common factor

85

Page 6: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

6 86 3

=

Remember :First factorize Identify the common factorReduce common factor

83

Not allowed!

Page 7: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

PRACTICE EXERCISES

Page 8: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

Reduce the following fractions

Page 9: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

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

Page 10: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

EXAMPLES OF APPLICATION

Page 11: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

=9

25

Remember:Factorize first Before reducingThen multiply across

Page 12: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

=1

4

Warning: when everything divides out the result is 1, not 0

Page 13: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

Exercises

Page 14: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

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

Page 15: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

Any question ?

Page 16: 1MPES2 Reduce Fractions Multiply and Divide on Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 17.09.2015

THANKS FOR YOUR ATTENTIONSee you on Monday and please learn your lesson !