COMMON FRACTIONS INTO
DECIMAL FRACTIONS
PROBLEMS
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11. Change each common fraction to a decimal fraction.
| 11. a) |
7
10 |
= .7 |
|
b) |
3
100 |
= .03 |
|
c) |
5
10,000 |
= .0005 |
| 11. d) |
51
1000 |
= .051 |
|
e) |
99
100,000 |
= .00099 |
|
f) |
237
1,000,000 |
= .000237 |
12. Change each decimal fraction to a common fraction.
| |
a) .9 = |
9
10 |
|
b) .07 = |
7
100 |
|
c) .005 = | 5
1000 |
| |
d) .0028 = | 28
10,000 |
|
e) .35 = |
35
100 |
|
f) .035 = |
35
1000 |
| |
g) .5628 = |
5,628
10,000 |
|
h) .002345 = |
2,345
1,000,000 |
|
13. Write each of the following with a common fraction in place of the
13. decimal fraction.
| |
a) 1.5 = 1 |
5
10 |
|
b) 22.345 = 22 |
345
1000 |
| |
c) 56.0078 = 56 |
78
10,000 |
|
d) 80.08 = 80 |
8
100 |
14. Write as a decimal.
| 14. a) 2 |
1
10 |
= 2.1 |
|
b) 59 |
22
100 |
= 59.22 |
| 14. c) 6 |
3
1000 |
= 6.003 |
|
d) 100 |
1
100,000 |
= 100.00001 |
15. Which numbers are the decimal denominators?
The powers of 10.
16. Change each denominator to a decimal denominator (Lesson 24),
16. then write each fraction as a decimal.
| 16. a) |
3
5 |
= |
6
10 |
= |
.6 |
|
b) |
9
50 |
= |
18
100 |
= |
.18 |
|
c) |
11
20 |
= |
55
100 |
= |
.55 |
| 16. d) |
9
25 |
= |
36
100 |
= |
.36 |
|
e) |
2
25 |
= |
8
100 |
= |
.08 |
|
f) |
3
50 |
= |
6
100 |
= |
.06 |
| 16. g) |
4
200 |
= |
2
100 |
= |
.02 |
|
h) |
7
200 |
= |
35
1000 |
= |
.035 |
|
i) |
12
200 |
= |
6
100 |
= |
.06 |
| 16. j) |
11
200 |
= |
55
1000 |
= |
.055 |
|
k) |
21
500 |
= |
42
1000 |
= |
.042 |
|
l) |
32
400 |
= |
8
100 |
= |
.08 |
| 16. m) |
27
300 |
= |
9
100 |
= |
.09 |
|
n) |
48
600 |
= |
8
100 |
= |
.08 |
|
o) |
168
800 |
= |
21
100 |
= |
.21 |
17. The student should know the decimal equivalent of the following.
| 17. a) |
1
2 |
= .5 |
|
b) |
1
4 |
= .25 |
|
c) |
3
4 |
= .75 |
| 17. d) |
1
8 |
= .125 |
e) |
3
8 |
= .375 |
f) |
5
8 |
= .625 |
g) |
7
8 |
= .875 |
| 17. h) |
1
5 |
= .2 |
i) |
2
5 |
= .4 |
j) |
3
5 |
= .6 |
k) |
4
5 |
= .8 |
18. The student should know the percent equivalent of the following.
| 17. a) |
1
2 |
= 50% |
b) |
1
4 |
= 25% |
c) |
3
4 |
= 75% |
| 17. d) |
1
8 |
= 12½% |
|
e) |
3
8 |
= 37½% |
|
f) |
5
8 |
= 62½% |
|
g) |
7
8 |
= 87½% |
| 17. h) |
1
5 |
= 20% |
|
i) |
2
5 |
= 40% |
|
j) |
3
5 |
= 60% |
|
k) |
4
5 |
= 80% |
| 18. l) |
1
3 |
= 33
| 1
3 |
% |
|
m) |
2
3 |
= |
66 |
2
3 |
% |
19. Write each of the following as a decimal.
| 19. a) 15 |
1
4 |
= 15.25 |
b) 3 |
3
4 |
= 3.75 |
c) 1 |
1
5 |
= 1.2 |
| 19.
d) 6 |
4
5 |
= 6.8 |
|
e) 16 |
1
2 |
= 16.5 |
|
f) 3 |
1
8 |
= 3.125 |
| 19.
g) 4 |
3
8 |
= 4.375 |
|
h) 1 |
5
8 |
= 1.625 |
|
i) 6 |
7
8 |
= 6.875 |
10. Write each improper fraction as a decimal. (First, change to a mixed
19. number.)
| a) |
8
5 |
= 1.6 |
|
b) |
13
4 |
= 3.25 |
|
c) |
9
2 |
= 4.5 |
|
| d) |
23
4 |
= 5.75 |
|
e) |
37
5 |
= 7.4 |
|
f) |
25
2 |
= 12.5 |
| g) |
17
8 |
= 2.125 |
|
h) |
35
8 |
= 4.375 |
|
i) |
55
8 |
= 6.875 |
11. How many times is .25 contained
| |
a) |
in 1? 4 |
|
b) |
in 2? 8 |
|
c) |
in 5? 20 |
|
d) |
in 9? 36 |
12. How many times is .125 contained
| |
a) |
in 1? 8 |
|
b) |
in 2? 16 |
|
c) |
in 5? 40 |
|
d) |
in 9? 72 |
Continue on to the next Section.
or
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Copyright © 2021 Lawrence Spector
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