COMMON FRACTIONS INTO
DECIMAL FRACTIONS
PROBLEMS 2
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Written calculation by division
13. Show the decimal pattern that each fraction generates..
| 13. a) | 1 3 |
= 0.333333. . . | b) | 1 9 |
= 0.111111. . . | |
| 13. c) | 1 11 |
= .090909. . . | d) | 1 6 |
= 0.1666666. . . | |
14. From your calculations in the previous problem, answer the
13. following.
| 14. a) Having calculated the decimal for | 1 3 |
, write the decimal for | 2 3 |
. |
0.666666. . .
| 14. b) Having calculated the decimal for | 1 9 |
, write the decimal for | 4 9 |
. |
0.444444. . .
| 14. c) Having calculated the decimal for | 1 11 |
, write the decimal for | 2 11 |
. |
0.181818. . .
| 14. d) Write the decimal for | 3 11 |
. 0.272727. . . |
| 14. e) Write the decimal for | 7 11 |
. 0.63636363. . . |
| 14. f) Having calculated the decimal for | 1 6 |
, write the decimal for | 5 6 |
. |
0.8333333. . .
15. 30 minutes as a fraction of an hour expressed as a decimal, is
15. .5 hours. What fraction of an hour, expressed as a decimal, is 35
15. minutes?
| Since 60 minutes = 1 hour, then 35 minutes = | 35 60 |
of an hour. |
| To express | 35 60 |
as a decimal, first reduce it to | 7 12 |
. (Lesson 21.) |
| To express | 7 12 |
as a decimal, divide 7 by 12, according to the |
technique of Lesson 11. You will find:
| 7 12 |
is approximately .583. |
35 minutes are approximately .583 hours.
Calculator problems
16. Express each of the following as a decimal. If the decimal does not
16 terminate, round it off to three decimal places.
| 15. a) | 11 16 |
= 0.6875 | b) | 7 32 |
= 0.21875 |
| 15. c) | 8 11 |
 0.727 |
d) | 22 101 |
0.218 |
17. a) In a class of 37 students, 11 got B. What fraction of the students
| got B? | 11 37 |
17.
b) Express that fraction as a decimal. (Round off to three decimal
13. b) places.) approximately .297
17. c) Express that decimal as a percent. 29.7% 15.
18. Review of percent (Lesson 13)
18. a) How much is 9¼% of $68.50? $6.34
18. b) $68.50 is 9¼% of how much? $740.54
18 c) 12 is what percent of 26? 46.2%
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