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Fraction to Decimal Worksheet - Page 2

Fraction to Decimal Worksheet
  • Page 2
 11.  
Convert 3 10 into a decimal.
a.
0.3
b.
0.03
c.
30
d.
3


Solution:

3 / 10 = 0.3
[The digit on the extreme right is in tenths place. So, 3 tenths = 3 / 10.]


Correct answer : (1)
 12.  
Carol takes 1 2 an hour to paint a table. How many hours would she take to paint 3 such tables? Which one represents the time in decimal form?
a.
1.5 hours
b.
15 hours
c.
150 hours
d.
0.15 hours


Solution:

Time taken to paint 3 tables = Time taken to paint one table × Number of tables.

= 12 × 3 = 32



The decimal equivalent of 3 / 2 is 1.5.

Carol takes 1.5 hours to paint the three tables.


Correct answer : (1)
 13.  
Convert the decimal 0.6 into fractional form.
a.
6 100
b.
60
c.
6
d.
6 10


Solution:

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


Correct answer : (4)
 14.  
Convert the decimal 0.53 into fractional form.
a.
100 53
b.
53 1000
c.
53 100
d.
53 10


Solution:

0.53 = 53100
[The digit on the extreme right is in hundredths place. So 53 hundredths = 53 / 100.]


Correct answer : (3)
 15.  
Convert (100 + 70 + 1 100 + 6 100 + 3 100) into its decimal equivalent.
a.
17.1
b.
170.1
c.
17.01
d.
170.01


Solution:

100 + 70 + 1100 + 6100 + 3100

= 170 + 10100
[Add the whole numbers and add the fractions separately.]

The equivalent decimal for the fraction is 170 + 0.1

= 170.1


Correct answer : (2)
 16.  
Convert (1 × 0.1) + (3 × 0.3) + (3 × 0.1) into its fractional equivalent.
a.
13 1000
b.
13 10
c.
13 100
d.
13


Solution:

(1 × 0.1) + (3 × 0.3) + (3 × 0.1) = 0.1 + 0.9 + 0.3 = 1.3

1.3 = 13 / 10


Correct answer : (2)
 17.  
Convert ( 1 3 + 1 3) into its decimal equivalent.
a.
67
b.
0.067
c.
0.67


Solution:

1 / 3 + 1 / 3 = (1+1) / 3

= 2 / 3

= 0.67


Correct answer : (3)
 18.  
Convert 18 100 into a decimal.
a.
180
b.
1.8
c.
0.18
d.
18


Solution:

18100 = 0.18


Correct answer : (3)
 19.  
Convert the mixed number 437 100 into a decimal number.
a.
43.5
b.
4.37
c.
4.037
d.
0.437


Solution:

437100
[Original mixed number]

= 4 + 37100
[Split the mixed number.]

= 4 + 0.37
[Convert the fraction 37 / 100 into a decimal number.]

= 4.37
[Add]


Correct answer : (2)
 20.  
Convert the fraction 457 1000 into a decimal equivalent.
a.
0.457
b.
4570
c.
4.
d.
45.


Solution:

4571000
[Original fraction]

= 410 + 5100 + 71000
[Expand the number so as to divide into their corresponding decimal places.]

= 0.4 + 0.05 + 0.007
[Convert the fractions to decimal numbers.]

= 0.457
[Add]


Correct answer : (1)

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