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Mixed Numbers and Improper Fractions (PowerPoint)

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					Mixed Numbers and Improper
        Fractions
         Lesson 3-5
                   Vocabulary
A proper fraction has a numerator that is less than its
denominator.

An improper fraction has a numerator that is more than or
equal to its denominator.

A mixed number shows the sum of a whole number and a
proper fraction.
                      Examples
Proper Fractions                     Improper Fractions
  5        7                           12        9
  8       10                            3        9

                   Mixed Numbers


               3
          8    5            3   17
                                20
      Writing Mixed Numbers as
          Improper Fractions
• Multiply the denominator of the fraction by
  the whole number.
• Add the product to the numerator.
• The resulting sum is the numerator of the
  improper fraction.
• The denominator remains the same.
        Example


    2      14
4   3       3

    4      34
6   5       5
        Try These


    1
7   5

    3
5   7
        Answers


    1      36
7   5       5

    3      38
5   7       7
    Writing Improper Fractions
        as Mixed Numbers

• If you have an improper fraction, you can
  divide the denominator into the numerator.
• The quotient becomes the whole number
  part of the mixed number.
• The remainder is the numerator of the
  fraction.
• The divisor is the denominator of the
  fraction.
               Example
                            whole number
13               2
 5            5 13
                10
denominator
                 3       numerator



                  3
              2   5
         Another Example
                         whole number
19               6
 3            3 19
                18
denominator
                 1    numerator



                  1
              6   3
     Try these

11    24         9
 6     7         4
        Answers

11       24       9
 6        7       4

    5       3         1
1   6   3   7     2   4

				
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