UNIT FRACTIONS

PROBLEMS

over the colored area.
Do the problem yourself first!

 11.  Let 14 be the unit, and count up to 3 14
 " 14 , 24 , 34 , 44 or 1; 1 14 , 1 24 , 1 34 , 2; 2 14 , 2 24 , 2 34 , 3; 3 14 . "
 12.  Let 16 be the unit, and count up to 2 16
 " 16 , 26 , 36 , 46 , 56 , 1; 1 16 , 1 26 , 1 36 , 1 46 , 1 56 , 2; 2 16 " .
 13.  a)  In the fraction 78 , what number is the unit? 18

13.  b)  How many of them are there?  7

14.  Every fraction is a sum of unit fractions.  Write the following as a
14.  sum of unit fractions.
 14. a) 38 = 18 + 18 + 18
 14. b) 45 = 15 + 15 + 15 + 15
 14. c) 53 = 13 + 13 + 13 + 13 + 13

 15.  a) 27 + 37 = 57 b) 15 + 35 = 45 c) 58 + 68 = 11 8 = 1 38

16.  Write the missing numerator.  1 is equal to

 16.   a) 33 b) 44 c) 55 d) 1010 e) 1616 f) 100100

17.   How many times is each of these contained in 1?

 a) 12 2 b) 14 4 c) 18 8 d) 1 16 16

18.   Calculate mentally.

 17.   a)  3 58 + 28 = 3 78 b)  3 58 − 28 = 3 38 c)  3 58 + 38 = 4 18.   d)  1 35 + 25 = 2 e)  7 14 + 34 = 8 f)  9 56 + 16 = 10

19.  In a recent survey, three fourths of the people responded Yes.
13.  20 people responded No.  How many responded Yes?

60.  Since three fourths responded Yes, one fourth remained. Those were the 20 who responded No. Three fourths is three times one fourth. 3 × 20 is 60.

 10.   a)  How many times is 13 contained in 2?  That is, 2 = 63 18.   b)  How many times is 14 contained in 5?  20 19.   c)  How many times is 16 contained in 8?  48 19.   d)  How many times is 18 contained in 10?  80 19.   e)  How many times is 1 16 contained in 20?  320

11.  The complement to 1.  Calculate mentally.

 10.     a)  1 − 23 = 13 b)  1 − 512 = 7 12 c)  1 − 110 = 9 10
 10.     d)  1 − 720 = 1320 e)  1 − 49100 = 51 100

12.  Calculate mentally.

 11.     a)  1 − 15 = 45 b)  9 − 15 = 8 45 . Compare part a).
 11.     c)  1 − 34 = 14 d)   8 − 34 = 7 14 . Compare part c).

13.  Calculate mentally.

 12.     a)  6 − 12 = 5 12 b)  8 − 13 = 7 23 c)  7 − 34 = 6 14 12.     d)  3 − 58 = 2 38 e)  4 − 25 = 3 35 f)  2 − 27 = 1 57

Continue on to the next Lesson.

or