# NSN6 Proper Fractions Improper Factions and Mixed Numbers

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```					                                                                                                                                                                                                                                                                  Name:_________________________

NUMBER SENSE & NUMERATION: PROPER FRACTIONS, IMPROPER
FRACTIONS, AND MIXED NUMBERS.

Don’t forget to play the two games, Mixed Numbers and Improper Fractions, first! Go to

The numerator (above the line) tells the number of parts being used.
QuickTime™ and a

The denominator (below the line) tells the total number of parts in the whole.                                                                                                                                                                                                                                                                                        decompres sor
are needed to see this picture.

cTm        d
Q ui ki e™ an a
m
deco pr essor

The numerator of a proper fraction is less than the denominator.                                                                                                                                                                                        is a proper fraction.
e               s ic
ar e neded t osee t hi pt ur e.

The numerator of an improper fraction is greater than or equal to the denominator.                                                                                                                                                                                                                                  Q ui kT e™ anda
c im
ar e nedecom essor s pi t ur .
eded t pr se t hi c e
o e
is an improper
fraction.
c              n
Qu i k Ti me ™ a d a
c     re
de om p s s o     r                                                         cTm       d
Q ui ki e™ an a
a re n e e d d to s e e th i s p c tu re
e                    i      .                                                   m
ar e ndeco pr essor hi pt ur e.
eeded t osee t s ic

A mixed number is a whole number and a proper fraction.                                                                                                                                                                                            or 1 +                                              is a mixed number.

1. Write P if the fraction is proper, I if it is improper, and M if it is a mixed number. Part a) has
been done for you.
3                                          5                                                                              9                                                                                            18                                                         10
a)                                   P.                        b) 2 8                     ___                              c)                                        ___                            d)                                                        ___                                     e) 1 20 ___
5                                                                                                                        12                                                                                             1

8                                                    4                                                                 95                                                                                             3                                                                                        0
f)                              ___                           g)                         ___                             h)                                         ___                              i)                                                      ___                                      j)                                                       ___
7                                                    9                                                                100                                                                                             2                                                                                       11
2. Write the missing improper fraction or mixed number in lowest (reduced) terms.
1                                          7                                                                                                                                                                4                                                                    30
3                                                                                                                                                                                                          5
Qui ckTi me™ and a                                                                                                                                                                                                                           Qui ckTi me™ and a

a)          QuickTime™ and a
decompressor
are needed to see this picture.
=                                             b)                                     =                 decompresso r
are ne ede d to see thi s pi cture.   c)            QuickTime™ and a
decompressor
are needed to see this picture.
=                                                         d)                                                           =                 decompresso r
are ne ede d to see thi s pi cture.

3                                          4                                                                                                                                                                6                                                                    14

350                                                                                                                                        3                                     85                                                                                                                                                                                                   12
3                                                                                                                                                                                                                                          5
Qui ckTi me™ and a                                                                                                                                                                                          Qui ckTi me™ and a

e)                                     =            decompresso r
are ne ede d to see thi s pi cture.       f)          QuickTime™ and a
decompressor
are needed to see this picture.
=                                              g)                                                                     =             decompresso r
are ne ede d to see thi s pi cture.                  h)                             QuickTime™ and a
decompressor
are needed to see this picture.
=
100                                                                                                                                        9                                     25                                                                                                                                                                                                   60

3. Write the missing number in each box which corresponds to the picture. Part a) has been
done for you.
QuickTime™ a nd a
decompressor
are need ed to see this picture.

QuickTime™ and a
0                                                                1
a)                                                                                        b)                                                                                             decompressor
are needed to see this picture.
c)                                              QuickTime™ and a
decompressor
are needed to see this picture.
2 2 4   1
  1                                                                                                                                                                                                                                                                                                                                                   QuickTime™ and a

3 3 3   3                                                                                                                                                                                                                                                                                                                                                   decompressor
are needed to see this picture.

5
QuickTime™ and a

d) 3
decompressor
are needed to see this picture.
e)                                                                                                                             f)
QuickTime™ and a                                       QuickTime™ an d a
QuickTime™ and a                                                                              decompressor                                           decompressor
are neede d to see this picture.
decompres sor                                                                                                                             are need ed to see this p icture .
are needed to see this picture.

4. Circle the fraction which is not equivalent to the others. Part a) has been done for you.
Expectation: i) represent, compare, and order fractional amounts with like and unlike denominators including proper and improper fractions and mixed numbers.
Hint: Find a common denominator
1 8 5 6                                 6 20 4 8
a)        , , ,                        b)         , , ,
2 14 10 12                              4 15 3 6                           Did You Know?
Ants stretch when they wake
1      4      5      3                 4       18 36 8                         up. They also appear to yawn
c) 1 4 , 1 16 , 1 20 , 1 15            d) 1 5 ,       , ,2                          before starting their
10 20 10
morning work.
QuickTime™ and a
decompressor
are neede d to see this picture.

15 12 18 24                         6       78 50 12
e)        , , ,                        f) 1 7 ,       , ,1
9 18 27 36                                 42 28 14
5. Yuri brought six small pies to Michelle’s house for their friends to eat. Yuri cut each into
twelve equal slices. Kyle asks for five-thirds of a pie. Dave claims five-fourths of a pie. Yuri
requests one and seven-twelfths of a pie.

a) Colour the pies at the right to show
each person’s request.
QuickTime™ an d a
decompressor
b) How many slices of pie are left for Michelle?                                                        are need ed to see this p icture .

_________________________________

c) How many full pies are left? (Mixed Number)
_________________________________

Try This!
Three brothers each wear a different coloured shirt. Each has a favourite fraction. Using
the clues below, determine which brother wears red. Hint: Use the table at the right to

1) Barry has the largest fraction.
2) The person in blue likes proper fractions.
3) Mike’s fraction cannot be converted into a                                                     QuickTime™ and a
decompressor
mixed number.                                                                           are neede d to see this picture.
4) The person in the green shirt has a
fraction in reduced form (lowest terms).

_______ wears the red shirt.

For more fun, go to http://www.aaamath.com/fra57c-fract2mixedld.html. Scroll down to find