PRE-ALGEBRA Monday, August 18. LEARNING TARGET I will be able to multiply and divide fractions and mixed numbers.

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Multiplying and Dividing Rational Numbers

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Presentation transcript:

PRE-ALGEBRA Monday, August 18

LEARNING TARGET I will be able to multiply and divide fractions and mixed numbers.

MULTIPLYING FRACTIONS. Consider 2/3 x 4/5: What is the answer? Why does it work? grade-math/cc-5th-fractions-topic/cc-5th- multiplying-fractions/v/multiplying-a-fraction-by-a- fraction

MULTIPLYING FRACTIONS Consider 12/35 x 49/60 What can we do to make multiplication easier?

MULTIPLYING MIXED NUMBERS alg/mixed-number-mult-div-pre-alg/v/multiplying--mixed- numbers# Steps: Change to improper fractions Use cancellation to make simplifying easier Multiply straight across Not necessary to change answer back to mixed number.

DIVIDING FRACTIONS ividingfractions/preview.weml Steps: 1. Switch the second number (dividend) to the reciprocal Why does this work? grade-math/cc-6th-arithmetic-operations/cc-6th-dividing- fractions/v/conceptual-understanding-of-dividing-fractions-by-fractionshttps:// grade-math/cc-6th-arithmetic-operations/cc-6th-dividing- fractions/v/conceptual-understanding-of-dividing-fractions-by-fractions 2. Use cancellation to make simplifying easier 3. Multiply straight across Not necessary to change answer back to mixed number.

DIVIDING FRACTIONS Try it: Remember that dividing by a fraction is the same as multiplying by the reciprocal of the fraction. Don’t forget to use cancellation to make your job easier.

DIVIDING MIXED NUMBERS Try 3 1/3 divided by 2 2/9 Steps: 1. Change to improper fractions 2. Change your division problem to a multiplication problem by flipping the second number (reciprocal of the fraction) and changing sign to multiplication. 3. Use cancellation to make simplifying easier 4. Multiply straight across It is not necessary to change answer back to mixed number.

RATE YOUR LEARNING I will be able to multiply and divide fractions and mixed numbers.