COMMON FRACTIONS INTO
DECIMAL FRACTIONS
PROBLEMS
To see the answer, pass your mouse over the colored area.
To cover the answer again, click "Refresh" ("Reload").
Do the problem yourself first!
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 23),
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.)
10. a) |
8 5 |
= 1.6 |
|
b) |
13 4 |
= 3.25 |
|
c) |
9 2 |
= 4.5 |
|
19. d) |
23 4 |
= 5.75 |
|
e) |
37 5 |
= 7.4 |
|
f) |
25 2 |
= 12.5 |
10. 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
Return to the previous Section .
Table of Contents
Please make a donation to keep TheMathPage online.
We do not accept advertising. Even $1 will help.
Copyright © 2001-2007 Lawrence Spector
Questions or comments?
E-mail: themathpage@nyc.rr.com