THE MEANING OF MULTIPLYING FRACTIONS

PARTS OF FRACTIONS

PROBLEMS (2)

Do the problem yourself first!

10.  How much is

 10 a)  Half of ¼? 18 b)  A third of ¼? 1 12
 10 c)  A fourth of ¼? 1 16 d)  Half of 37 ? 3 14
 e)  A third of 49 ? 4 27 f)  A fifth of 78 ? 7 40

11.  How much is

 11 a)  Half of 25 ? 15 b)  Half of 45 ? 25 c)  Half of 89 ? 49 d)  Half of 67 ? 37

12.  How much is

 10 a)  A third of 35 ? 15 b)  A third of 25 ? 2 15
 12 c)  A third of 67 ? 27 d)  A third of 57 ? 5 21
 10 e)  A fifth of 1011 ? 2 11 f)  A sixth of 56 ? 5 36
 12 g)  An eighth of 89 ? 19 h)  A ninth of 23 ? 2 27

13.  How much is

 13 a)  Half of 6½?  3¼ b)  A third of 6½? 2 16
 13 c)  A fourth of 8 13 ? 2 1 12 d)  Half of 4 25 ? 2 15
 13 e)  A third of 12 34 ? 4 14 f)  Half of 2 45 ? 1 25

14.   What ratio has

 12.   a) 14 to 12 ?  Half b) 16 to 12 ?  A third 12.   c) 18 to 12 ?  A fourth d) 25 to 2 15 ?  Three times 12.   e) 58 to 5 32 ?  Four times f) 3 16 to 34 ?  One fourth

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

 1 12 14 18 1 16 1 32 100% 50% 25% 12½% 6¼% 3 18 %

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 57 = 1021 b)  Three eighths of 19 = 1 24
 16 c)  Two ninths of 38 = 1 12 d)  Three fourths of 89 = 23

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 16 miles.
 20.  A recipe calls for 4½ cups of flour and 2 23 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 13 cups milk.

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

 21.  flour and 1 23 cups sugar.  Calculate mentally how much flour you

21  will use and how much sugar.

 11¼ cups flour. 8 13 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? 34

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? 78 × 5 = 4 38 cups milk
 24.  Each shelf of a bookcase is 2 34 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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