DIVIDING FRACTIONS

PROBLEMS

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1.  Express each quotient as a fraction.

  1.   a)  3 ÷ 4  =  3
4		     18.   b)  5 ÷ 8  =  5
8		     18.   c)  10 ÷ 12  =  5
6
  2.   a)    8
9		  ÷  4
9		  =   2    b)    5
8		  ÷  7
8		  =  5
7		   c)    5
8		  ÷  2
8		  =  2½
 
  2.   d)    3
7		  ÷  6
7		  =  1
2		   e)     6 
11		  ÷   9 
11		  =  2
3		   f)    20
21		  ÷   8 
21		  =  2½
  3.   a)   3
4		  ÷  7
5		  =  15
28		   b)    3
5		  ÷  2
3		  =   9 
10
 
  3.   c)   2
9		  ÷   3 
11		  =  22
27		   d)    4
5		  ÷   3 
15		  =   4 
 
  3.   e)   5
6		  ÷  8
9		  =  15
16		   f)     4 
15		  ÷   9 
10		  =   8 
27
 
  3.   g)   5
8		  ÷  11
12		  =  15
22		   h)    3
4		  ÷  1
2		  =  1½
 
 
  4.   a)   1
3		  ÷  2  =  1
6		   b)    2  ÷  1
3		  =  6
 
  4.    c)   2
5		  ÷  3  =   2 
15		   d)    3  ÷  2
5		  =  7½
 
 
  5.   a)   1½  ÷  2¼  =  2
3		   b)    6  ÷   =  2¼

6.  Invert the divisor and multiply.

   6.   a)   30  ÷  3
4		  =  40   b)    500  ÷  2
3		  =  750
 
  6.    c)   360  ÷  4
5		  =  450   d)    140  ÷  7
9		  =  180

7.  A bottle of medicine contains 8 oz.  Each dose of the medicine is

6.     2
3		  oz.  How many doses are in the bottle?  12

8.  If a box of cereal holds 28 ounces, then how many servings will
8.  there be if each serving is 3½ ounces?  8

9.  You are planning a party.  Your punchbowl holds 12 quarts.  The

  9.   ladle holds  3
4		  cup.  How many drinks will you be able to serve?

9.  (In division, the units must be the same.  1 quart = 4 cups.)  64

10.  Summary.  Distinguish the following.

  10.   a)   3
8		  +  4
9		  =  59
72		   b)   3
8		  ×  4
9		  =  1
6		   c)   3
8		  ÷  4
9		  =  27
32
  10.   d)  3 5
8		  =  29
 8		   e)  3 ×  5
8		  =  15
 8		  = 1 7
8

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