COMMON FRACTIONS INTO
DECIMAL FRACTIONS

PROBLEMS

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 24),
16.  then write each fraction as a decimal.

 16.   a) 35 = 610 = 0.6 b) 9 50 = 18 100 = 0.18 c) 1120 = 55 100 = 0.55
 16.   d) 9 25 = 36 100 = 0.36 e) 2 25 = 8  100 = 0.08 f) 3 50 = 6 100 = 0.06
 16.   g) 4  200 = 2  100 = 0.02 h) 7 200 = 35  1000 = 0.035 i) 12 200 = 6  100 = 0.06
 16.   j) 11 200 = 55  1000 = 0.055 k) 21 500 = 42  1000 = 0.042 l) 32 400 = 8  100 = 0.08
 16.   m) 27 300 = 9  100 = 0.09 n) 48 600 = 8  100 = 0.08 o) 168800 = 21 100 = 0.21

17.  The student should know the decimal equivalent of the following.

 17.   a) 12 = .5 b) 14 = .25 c) 34 = .75
 17.   d) 18 = .125 e) 38 = .375 f) 58 = .625 g) 78 = .875
 17.   h) 15 = .2 i) 25 = .4 j) 35 = .6 k) 45 = .8

18.  The student should know the percent equivalent of the following.

 17.   a) 12 = 50% b) 14 = 25% c) 34 = 75%
 17.   d) 18 = 12½% e) 38 = 37½% f) 58 = 62½% g) 78 = 87½%
 17.   h) 15 = 20% i) 25 = 40% j) 35 = 60% k) 45 = 80%
 18.  l) 13 = 33 13 % m) 23 = 66 23 %

19.  Write each of the following as a decimal.

 19.   a)  15 14 = 15.25 b)  3 34 = 3.75 c)  1 15 = 1.2
 19.   d)  6 45 = 6.8 e)  16 12 = 16.5 f)  3 18 = 3.125
 19.   g)  4 38 = 4.375 h)  1 58 = 1.625 i)  6 78 = 6.875

10.  Write each improper fraction as a decimal.  (First, change to a mixed
19.  number.)

 a) 85 = 1.6 b) 13 4 = 3.25 c) 92 = 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.

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