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7-11 Fractions Greater
       than One
    Number Sense 1.5
Definitions
Definitions
two terms: mixed number and
improper fraction
Definitions
two terms: mixed number and
improper fraction




               1    3
                    8
Definitions
two terms: mixed number and
improper fraction


     This is a
mixed number.
                 1   3
                     8
Definitions
two terms: mixed number and
improper fraction


     This is a
mixed number.
                  1
        whole number
                       3
                       8
Definitions
two terms: mixed number and
improper fraction


     This is a
mixed number.
                  1
        whole number
                       3
                       8
Definitions
two terms: mixed number and
improper fraction




                  1
                           fraction


     This is a         3
                       8
mixed number.


        whole number
Definitions
two terms: mixed number and
improper fraction




                  1
                           fraction


     This is a         3
                       8
mixed number.


        whole number
Definitions
Definitions
two terms: mixed number and
improper fraction
Definitions
two terms: mixed number and
improper fraction


            11
            8
Definitions
two terms: mixed number and
improper fraction


            11    This is an
                  improper

            8     fraction.
Definitions
   two terms: mixed number and
   improper fraction


                    11
The numerator, 11
                         This is an
                         improper

                    8    fraction.
Definitions
   two terms: mixed number and
   improper fraction


                    11
The numerator, 11
                         This is an
        LARGER           improper

                    8
   is
                         fraction.
Definitions
    two terms: mixed number and
    improper fraction


                       11
 The numerator, 11
                            This is an
         LARGER             improper

                       8
    is
                            fraction.


than the denominator, 8.
Changing an improper fraction
     to a mixed number.


11
8                 1    3
                       8
Changing a mixed number to an
      improper fraction.




1   3
    8
                       11
                       8
Changing a mixed number to an
      improper fraction.
Changing a mixed number to an
      improper fraction.




          1    3
               8
Changing a mixed number to an
      improper fraction.




               1   3
STEP ONE:
Multiply the
DENOMINATOR
and the
WHOLE
NUMBER
                   8
Changing a mixed number to an
      improper fraction.




               1   3
STEP ONE:
Multiply the
DENOMINATOR
and the
WHOLE
NUMBER
                   8
Changing a mixed number to an
      improper fraction.




               1   3
STEP ONE:
Multiply the
DENOMINATOR            8x1=8
and the
WHOLE
NUMBER
                   8
Changing a mixed number to an
      improper fraction.




               1   3
STEP ONE:              denominator
Multiply the
DENOMINATOR              8x1=8
and the
WHOLE
NUMBER
                   8
Changing a mixed number to an
      improper fraction.




               1   3
STEP ONE:              denominator
Multiply the
DENOMINATOR              8x1=8
and the
WHOLE
NUMBER
                   8   whole #
Changing a mixed number to an
      improper fraction.




               1   3
STEP ONE:              denominator
Multiply the
DENOMINATOR              8x1=8
and the
WHOLE
NUMBER
                   8   whole #

                              answer
                            (product)
Changing a mixed number to an
      improper fraction.
Changing a mixed number to an
      improper fraction.




          1    3
               8
Changing a mixed number to an
      improper fraction.

STEP TWO: Add
the PRODUCT to
the NUMERATOR.

                 1   3
                     8
Changing a mixed number to an
      improper fraction.

STEP TWO: Add
the PRODUCT to
the NUMERATOR.

                 1   3
                     8
                         8 + 3 = 11
Changing a mixed number to an
      improper fraction.




                 1   3
                         product
STEP TWO: Add
the PRODUCT to           8 + 3 = 11

                     8
the NUMERATOR.
Changing a mixed number to an
      improper fraction.




                 1   3
                           product
STEP TWO: Add
the PRODUCT to             8 + 3 = 11

                     8
the NUMERATOR.

                         numerator
Changing a mixed number to an
      improper fraction.




                 1   3
                           product
STEP TWO: Add
the PRODUCT to             8 + 3 = 11

                     8
the NUMERATOR.

                         numerator

                                answer
Changing a mixed number to an
      improper fraction.




          1    3
               8
Changing a mixed number to an
       improper fraction.


STEP THREE: Place


                   1
answer over original
DENOMINATOR
                       3
                       8
Changing a mixed number to an
       improper fraction.


STEP THREE: Place


                   1
answer over original
DENOMINATOR
                       3
                       8
                           11
Changing a mixed number to an
       improper fraction.


STEP THREE: Place


                   1
answer over original
DENOMINATOR
                       3
                       8
                           11
                           8
Changing a mixed number to an
       improper fraction.


STEP THREE: Place


                   1
answer over original
DENOMINATOR
                       3
                       8
                           11
                           8
Changing a mixed number to an
       improper fraction.


STEP THREE: Place

DENOMINATOR
                   1
answer over original
                        3 11
                        8 =8
                        whole
                       number
                                improper
                                 fraction
Changing a mixed number to an
      improper fraction.
Changing a mixed number to an
       improper fraction.
STEP ONE: MULTIPLY the
DENOMINATOR and the
WHOLE NUMBER
Changing a mixed number to an
       improper fraction.
STEP ONE: MULTIPLY the
DENOMINATOR and the
WHOLE NUMBER
STEP TWO: ADD
the PRODUCT to
the NUMERATOR.
Changing a mixed number to an
       improper fraction.
STEP ONE: MULTIPLY the
DENOMINATOR and the
WHOLE NUMBER
STEP TWO: ADD
the PRODUCT to
the NUMERATOR.

STEP THREE: PLACE answer
OVER original
DENOMINATOR
Changing a mixed number to an
       improper fraction.
STEP ONE: MULTIPLY the
DENOMINATOR and the
                           M
WHOLE NUMBER
STEP TWO: ADD
the PRODUCT to
the NUMERATOR.

STEP THREE: PLACE answer
OVER original
DENOMINATOR
Changing a mixed number to an
       improper fraction.
STEP ONE: MULTIPLY the
DENOMINATOR and the
                           M
WHOLE NUMBER
STEP TWO: ADD
                           A
the PRODUCT to
the NUMERATOR.

STEP THREE: PLACE answer
OVER original
DENOMINATOR
Changing a mixed number to an
       improper fraction.
STEP ONE: MULTIPLY the
DENOMINATOR and the
                           M
WHOLE NUMBER
STEP TWO: ADD
                           A
the PRODUCT to
the NUMERATOR.
                           P
STEP THREE: PLACE answer   O
OVER original
DENOMINATOR                D
2
2
5
M


2
2
5
M


2
    A
2
5
M


2
    A
2
5   P
    O
    D
M   5 x 2 = 10




2
    A
2
5   P
    O
    D
M   5 x 2 = 10




2
    A   10 + 2 = 12
2
5   P
    O
    D
M   5 x 2 = 10




2
    A   10 + 2 = 12
2
5   P   12 (the sum)
    O
    D
M   5 x 2 = 10




2
    A   10 + 2 = 12
2
5   P   12 (the sum)
    O
    D
M   5 x 2 = 10




2
    A   10 + 2 = 12
2
5   P   12 (the sum)
    O    5 (the original
    D      denominator)
Changing an improper fraction
     to a mixed number.
Changing an improper fraction
     to a mixed number.


        11
        8
Changing an improper fraction
      to a mixed number.


               11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8
Changing an improper fraction
      to a mixed number.


               11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8
Changing an improper fraction
      to a mixed number.


               11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8     11
Changing an improper fraction
      to a mixed number.


               11 8 11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8
Changing an improper fraction
      to a mixed number.

                      1
               11 8 11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8
Changing an improper fraction
      to a mixed number.

                      1
               11 8 11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8
Changing an improper fraction
      to a mixed number.

                      1
               11 8 11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8
Changing an improper fraction
      to a mixed number.

                      1
               11 8 11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8      8
Changing an improper fraction
      to a mixed number.

                      1
               11 8 11
 STEP ONE:
  Divide the
  numerator
      by the
denominator.   8      8
                      3
Changing an improper fraction
     to a mixed number.
Changing an improper fraction
        to a mixed number.

 STEP TWO:
      Place
  remainder
   over the
    original
denominator
Changing an improper fraction
        to a mixed number.
                  1
               8 11
 STEP TWO:
      Place
  remainder
   over the
    original
denominator
                  8
Changing an improper fraction
        to a mixed number.
                  1
               8 11
 STEP TWO:
      Place
  remainder
   over the
    original      8
                  3
denominator
Changing an improper fraction
        to a mixed number.
                  1
 STEP TWO:
      Place
  remainder    8 11         3
   over the
    original
denominator
                  8
Changing an improper fraction
        to a mixed number.
                  1
 STEP TWO:
      Place
  remainder    8 11         3
   over the
    original
denominator
                  8
Changing an improper fraction
        to a mixed number.
                  1
 STEP TWO:
      Place
  remainder    8 11         3
   over the
    original
denominator
                  8         8
Changing an improper fraction
     to a mixed number.
Changing an improper fraction
      to a mixed number.

     1
8 11
   8
   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
                    1
   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
                    1   3
                        8
   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
                    1
                   whole
                  number
                           3
                           8
   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
                    1
                   whole
                  number
                           3
                           8
                           fraction



   3
Changing an improper fraction
      to a mixed number.

     1
8 11 3
   8 8
                    1
                   whole
                  number
                           3
                           8
                           fraction



   3               MIXED NUMBER
Changing an improper fraction
     to a mixed number.
Changing an improper fraction
        to a mixed number.
      STEP ONE:
     DIVIDE the
numerator by the
    denominator.
Changing an improper fraction
        to a mixed number.
      STEP ONE:
     DIVIDE the
numerator by the
    denominator.
       STEP TWO:
PLACE REMAINDER
 OVER the original
   DENOMINATOR
Changing an improper fraction
        to a mixed number.
      STEP ONE:         D
     DIVIDE the
numerator by the
    denominator.
       STEP TWO:
PLACE REMAINDER
 OVER the original
   DENOMINATOR
Changing an improper fraction
        to a mixed number.
      STEP ONE:         D
                        P
     DIVIDE the
numerator by the
    denominator.
       STEP TWO:
                        R
PLACE REMAINDER
 OVER the original
                        O
   DENOMINATOR          D
Helpful to REMEMBER
Helpful to REMEMBER

    M
Helpful to REMEMBER

    M
    A
Helpful to REMEMBER

    M
    A
    P
    O
    D
Helpful to REMEMBER

    M r.
    A
    P
    O
    D
Helpful to REMEMBER

    M r.
    A lfonso’s
    P
    O
    D
Helpful to REMEMBER

    M r.
    A lfonso’s
    P izza
    O
    D
Helpful to REMEMBER

    M r.
    A lfonso’s
    P izza
    O n Time
    D
Helpful to REMEMBER

    M r.
    A lfonso’s
    P izza
    O n Time
    D elivery
Helpful to REMEMBER
Helpful to REMEMBER

    D
Helpful to REMEMBER

    D
    P
    R
    O
    D
Helpful to REMEMBER

    D iaper
    P
    R
    O
    D
Helpful to REMEMBER

    D iaper
    P atrol
    R
    O
    D
Helpful to REMEMBER

    D iaper
    P atrol
    R obots
    O
    D
Helpful to REMEMBER

    D iaper
    P atrol
    R obots
    On
    D
Helpful to REMEMBER

    D iaper
    P atrol
    R obots
    On
    Duty

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7-11 Fractions Greater Than One

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