Multiplying%20and%20Dividing%20Rational%20Numbers - PowerPoint PPT Presentation

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Multiplying%20and%20Dividing%20Rational%20Numbers

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... fractions, we can simplify the fractions and also simplify diagonally. ... Simplifying Diagonally. 1. 1. You do not have to simplify diagonally, it is just ... – PowerPoint PPT presentation

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Title: Multiplying%20and%20Dividing%20Rational%20Numbers


1
Multiplying and Dividing Rational Numbers
2
Rational Numbers
  • The term Rational Numbers refers to any number
    that can be written as a fraction.
  • This includes fractions that are reduced,
    fractions that can be reduced, mixed numbers,
    improper fractions, and even integers and whole
    numbers.
  • An integer, like 4, can be written as a fraction
    by putting the number 1 under it.

3
Multiplying Fractions
  • When multiplying fractions, they do NOT need to
    have a common denominator.
  • To multiply two (or more) fractions, multiply
    across, numerator by numerator and denominator by
    denominator.
  • If the answer can be simplified, then simplify
    it.
  • Example
  • Example

4
Simplifying Diagonally
  • When multiplying fractions, we can simplify the
    fractions and also simplify diagonally. This
    isnt necessary, but it can make the numbers
    smaller and keep you from simplifying at the end.
  • From the last slide
  • An alternative

You do not have to simplify diagonally, it is
just an option. If you are more comfortable,
multiply across and simplify at the end.
5
Mixed Numbers
  • To multiply mixed numbers, convert them to
    improper fractions first.

6
Sign Rules
  • Remember, when multiplying signed numbers...

Positive Positive
Positive.
Negative Negative
Positive.
Positive Negative
Negative.
7
Try These Multiply
  • Multiply the following fractions and mixed
    numbers

8
Solutions Multiply
9
Solutions (alternative) Multiply
Note Problems 1, 2 and 4 could have been
simplified before multiplying.
10
Dividing Fractions
  • When dividing fractions, they do NOT need to have
    a common denominator.
  • To divide two fractions, change the operation to
    multiply and take the reciprocal of the second
    fraction (flip the second fraction).
    Keep-Change-Change.

11
Dividing Fractions
  • Finish the problem by following the rules for
    multiplying fractions.

12
Try These Divide
  • Divide the following fractions mixed numbers

13
Solutions Divide
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