THE MEANING OF MULTIPLYING FRACTIONS

PARTS OF FRACTIONS

PROBLEMS (2)

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 10.  How much is

10.     a)  Half of ¼?   1
8		   b)  A third of ¼?    1 
12
10.     c)  A fourth of ¼?    1 
16		   d)  Half of    3
7		 ?    3 
14
  e)  A third of   4
9		 ?    4 
27		   f)  A fifth of   7
8		 ?    7 
40

 11.  How much is

11     a)  Half of  2
5		 ?   1
5		   b)  Half of  4
5		 ?   2
5
 
  c)  Half of  8
9		 ?   4
9		   d)  Half of  6
7		 ?   3
7

12.  How much is

10.     a)  A third of  3
5		 ?   1
5		   b)  A third of  2
5		 ?    2 
15
  12.   c)  A third of  6
7		 ?   2
7		   d)  A third of  5
7		 ?    5 
21
  10.   e)  A fifth of  10
11		 ?    2 
11		   f)  A sixth of  5
6		 ?    5 
36
  12.   g)  An eighth of  8
9		 ?   1
9		   h)  A ninth of  2
3		 ?    2 
27

13.  How much is

13.    a)  Half of 6½?  3¼   b)  A third of 6½?   2 1
6
13.    c)  A fourth of 8 1
3		 ?   2  1 
12		   d)  Half of 4 2
5		 ?   2 1
5
13.     e)  A third of 12 3
4		 ?   4 1
4		   f)  Half of 2 4
5		 ?   1 2
5

14.   What ratio has

  12.   a)   1
4		  to  1
2		 ?  Half   b)   1
6		  to  1
2		 ?  A third
 
  12.   c)   1
8		  to  1
2		 ?  A fourth   d)   2
5		  to   2 
15		 ?  Three times
 
  12.   e)   5
8		  to   5 
32		 ?  Four times   f)    3 
16		  to  3
4		 ?  One fourth

15  Percent.   In this sequence, each fraction is which part of the
15.  previous fraction?  Half

1
2		    1
4		    1
8		     1 
16		     1 
32		  
50%    25%    12½%    6¼%    3 1
8		 %

15.  Each fraction is equal to a percent.  Therefore, each percent will
15.   be which part of the previous percent?  Half

15.  Each fraction is equal to what percent?

16.  Calculate.

16.     a)  Two thirds of  5
7		  =  10
21		   b)  Three eighths of  1
9		  =   1 
24
16     c)  Two ninths of  3
8		  =   1 
12		   d)  Three fourths of  8
9		  =  2
3

17.  If a pie is cut in half, and each half is cut into eighths, then each piece
17.  is which part of the pie?  One sixteenth.

18.  If a pie is cut into thirds, and each third is cut into fourths, then
18.  each piece is which part of the pie?  One twelfth.

19.  If a car can travel 24½ miles on a gallon a gas, then how far can it

travel on a third of a gallon?     8 1
6		 miles.
  20.  A recipe calls for 4½ cups of flour and 2 2
3		  cups of milk.  You are

20.  going to make half the recipe.   Calculate mentally how much flour
20.  you will use and how much milk.

2¼  cups flour.     1 1
3		  cups milk.

21.  You are going to make five cakes; each cake requires 2¼ cups of

  21.  flour and 1 2
3		  cups sugar.  Calculate mentally how much flour you

21  will use and how much sugar.

11¼  cups flour.     8 1
3		  cups sugar.

22.  On a test, you answered 9 out of 10 questions, and you got five sixths

of them right.  What fraction of the questions did you get right?   3
4

22.  What was your numerical grade?  75%

23.  A recipe calls for 4 cups of flour and 5 cups of milk. You are going
22.  to use only 3½ cups of flour.  Proportionally, how much milk should

you use?    7
8		  × 5 = 4 3
8		  cups milk
  24.  Each shelf of a bookcase is 2 3
4		  feet, and there are 8 shelves; if lumber

22.  costs $1.50 a foot, what will be the cost of the lumber for the 8

22.  shelves?   $33

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