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?     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 number is which part of the
15.  previous number?  Half

1    1
2
   1
4
   1
8
    1 
16
    1 
32
100%    50%    25%    12½%    6¼%    3 1
8
%

15.   Therefore, each percent will be which part of the previous
15.   percent?  Half

15.  Each fraction is equal to what percent?

(Compare Lesson 15.)

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.

 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

Continue on to Section 3.

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