PROPER FRACTIONS, MIXED NUMBERS, IMPROPER FRACTIONS

PROBLEMS

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  11.  a)  Why is this number   1
3		   called "one-third"?

Because 1 is one third of 3.

  11.  b)   1
3		  is which part of 1?  One third.
  11.  c)  Place  1
3		  on this number line.

12.  What ratio has each number to 1?

 12.  a)   1
2		 is one half of 1.                b)   1
4		 is one quarter of 1.
 12.  c)   3
4		 is three quarters of 1.                d)   1
3		 is one third of 1.
 12.  e)   2
3		 is two thirds of 1.                f)   5
8		 is five eighths of 1.

13.  Read each number.

 13.  a)    7 
12		   Seven twelfths.   b)   11
 2		   Eleven halves.
 
 13.  c)   8
3		   Eight thirds.   d)   37
59		   37 over 59.
 
 13.  e)     9 
100		   9 hundredths.   f)      7   
1000		   7 thousandths.
 13.  g)        246     
1,000,000		   246 millionths.
 13.  h)  6 3
8		   Six and three eighths.   i)  7  5
16		   Seven and five sixteenths.

14.  Write the meaning of each mixed number.

14.     a)  1 1
2		   = 1 +  1
2		   b)  2 3
4		   = 2 +  3
4		     c)  3 5
8		   = 3 +  5
8

15.  From this list, pick out the proper fractions, and pick out the
16.  improper fractions.

2
5		     5
2		     7
9		     9
7		     7
7		     7
8		     8
5

Proper fractions:

2
5		    7
9		    7
8

Improper fractions:

5
2		     9
7		     7
7		     8
5

16.  What kind of fractions are less than 1?  Proper fraction.

1  7.  a)   What number is three fifths of 1?   3
5

17.  b)  Place that number on the number line.

18.  What number is at the arrow?

1
4

4
5

2 2
3

19.  Cut the number line and place each number on it:

1
5		      2
5		      3
5		      4
5		     1 2
5		     2 1
5		     4 3
5

10.  Cut the number line and place each number on it.

a)   2
3		  
 
b)   3
4		  
 
c)   5
8		  
 
d)  2 3
4		  
 
e)  3 3
8		  

11.  Answer with a mixed number or with a whole number plus a
11.  remainder, whichever makes sense.

11.  a)  It takes three yards of material to make a skirt. How many skirts
11.  a)  can you make from 25 yards?

8 skirts. 1 yard will remain.

11.  b)  You are going on a journey of 25 miles, and you have gone a
11.  b)  third of the distance. How far have you gone?

8 1
3		  miles.

12.  Change each improper fraction to a mixed number or a whole
12.  number.  Do not write the division box.  Divide mentally.

12.   a)  7
5		  = 1 2
5		   b)   24
 3		  = 8     c)   23
 9		  = 2 5
9		   d)   31
 8		  = 3 7
8
 
12.   e)   10
10		  = 1     f)   12
12		  = 1     g)   71
 9		  = 7 8
9		   h)   53
 6		  = 8 5
6
 
12.   i)  63
 7		  = 9     j)   43
 6		  = 7 1
6		   k)   75
 8		  = 9 3
8		   l)   74
 9		  = 8 2
9

13.  Change each mixed number to an improper fraction.

11.     a)  1 2
3		  =  5
3		   b)  3 2
5		  =  17
 5		   c)  7 5
8		  =  61
 8		   d)  9 6
7		  =  69
 7
 
13.     e)  6 5
9		  =  59
 9		   f)  8 4
7		  =  60
 7		   g)  7 1
6		  =  43
 6		   h)  9 7
8		  =  79
 8

14.  Place on the number line.

  14.   a)   7
3		  
 
  14.   b)   15
 4 		  
 
  14.   c)   23
 5 		  

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