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Fraction to Decimal Worksheet - Page 3

Fraction to Decimal Worksheet
  • Page 3
 21.  
Identify 0.99 as a fraction.
a.
99 1000
b.
99 100
c.
99 10
d.
100 99


Solution:

0.99 = 99100
[The digit on the extreme right is in the hundredth's place, so 99 hundredths = 99 / 100.]


Correct answer : (2)
 22.  
Choose the fractional equivalent of 0.026.
a.
26 100
b.
26 1000
c.
1000 26
d.
26 10


Solution:

0.026 = 26 / 1000.
[The digit on the extreme right is in the thousandth's place, so 26 thousandths = 26 / 1000.]


Correct answer : (2)
 23.  
Identify the fraction 1 20 as a decimal number.
a.
0.5
b.
0.05
c.
5
d.
50


Solution:



120 = 0.05.


Correct answer : (2)
 24.  
Convert the fraction (3 5 × 2 5 × 1 4) into its decimal equivalent.
a.
60
b.
0.06
c.
0.6
d.
6


Solution:

(3 / 5× 2 / 5 × 1 / 4) = 6 / 100
[Multiply numerators and denominators separately.]

So the decimal equivalent of the fraction (3 / 5 × 2 / 5 × 1 / 4) is 0.06.


Correct answer : (2)
 25.  
Choose the correct fractional equivalent of 0.6
a.
6 100
b.
10 6
c.
6 1000
d.
6 10


Solution:

0.6 = 610
[The digit on the extreme right is in the tenth's place. So, 6 tenths = 6 / 10.]


Correct answer : (4)
 26.  
Convert 53 100 into decimal form.
a.
0.53
b.
0.035
c.
0.35
d.
0.053


Solution:

53100
[Original expression.]

= 510 + 3100
[Expand the number so as to divide into corresponding decimal equivalents.]

= 0.5 + 0.03
[Convert the fractions into decimal form.]

= 0.53
[Add.]


Correct answer : (1)
 27.  
Which is the decimal for the model?

a.
0.50
b.
50.0
c.
5.0
d.
0.05


Solution:

50 out of 100 pieces are shaded.

So, the model represents 50 hundredths.

50 hundredths = 50 / 100 = 0.50.


Correct answer : (1)
 28.  
Find the decimal for the model.

a.
8
b.
8.0
c.
0.2
d.
0.8


Solution:

8 out of 10 pieces of the model are shaded.

So, the model represents 8 tenths.

8 tenths = 8 / 10 = 0.8

So, the decimal for the model is 0.8.


Correct answer : (4)
 29.  
Identify the decimal for a mixed number 84 10.
a.
0.84
b.
8.04
c.
8.4
d.
84


Solution:

8410 = 8 + 410
[Write the mixed number as a sum.]

410 = 0.4

So, 8 + 4 / 10 = 8 + 0.4
[Substitute 4 / 10 = 0.4.]

= 8.4
[Add.]

So the decimal for 84 / 10 is 8.4.


Correct answer : (3)

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