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Fraction to Decimal Worksheet

Fraction to Decimal Worksheet
  • Page 1
 1.  
Convert the decimal 2.325 into fractional form.
a.
131 40
b.
13 40
c.
1 40
d.
213 40


Solution:

Read the number as one and three hundred twenty-five thousandths.

The number in the denominator is 1000.

So, 2.325 = 2325 / 1000

= 2325 ÷ 251000 ÷ 25
[Use the GCF to write the fraction in simplest form.]

= 213 / 40


Correct answer : (4)
 2.  
Express 1.12 as a fraction.
a.
13 25
b.
14 25
c.
3 25
d.
11 24


Solution:

Read the number as one and twelve hundredths.

The number in the denominator is 100.

So, 1.12 = 112 / 100

= 112 ÷ 4100 ÷ 4
[Use the GCF to write the fraction in simplest form.]

= 13 / 25


Correct answer : (1)
 3.  
Marissa ate 1 2 of a cake. Convert this fraction into a decimal.
a.
0.05
b.
5.0
c.
0.5
d.
50.0


Solution:


To convert fraction into decimal, divide the numerator of the fraction with the denominator.

So, the decimal for 1 / 2 is 0.5.


Correct answer : (3)
 4.  
Find the fraction for the decimal 8.9.
a.
1 89
b.
89 100
c.
89 10
d.
10 89


Solution:

8.9 = 89 / 10

So, the fraction for 8.9 = 89 / 10.


Correct answer : (3)
 5.  
Find the fraction for the decimal 3.31.
a.
331 1000
b.
100 331
c.
331 10
d.
331 100


Solution:

3.31 = 3 + 0.31

= 3 + 31 / 100

= 300+31 / 100 = 331 / 100


Correct answer : (4)
 6.  
Determine the fractions for the decimals given in the table.


a.
6 100 and 143 10
b.
6 10 and 143 100
c.
6 100 and 143 1000
d.
6 10 and 143 10


Solution:

0.6 = 6 / 10

1.43 = 1 + 0.43

= 1 + 43 / 100

= 143 / 100

So, the fractions for 0.6 and 1.43 are 6 / 10 and 143 / 100.


Correct answer : (2)
 7.  
Express the fraction 111 100as a decimal.
a.
0.011
b.
11.1
c.
0.11
d.
1.11


Solution:

111 / 100 = 111 / 100


11 / 100 = 0.11

So, 111 / 100 = 1 + 0.11

= 1.11


Correct answer : (4)
 8.  
Identify the table that correctly represents the fractions in their decimal form.


a.
Table B
b.
Table C
c.
Table A
d.
Table B and Table C


Solution:

17 / 100 = 1 + 7 / 100

7 / 100 = 0.07

So, 17 / 100 = 1 + 0.07 = 1.07

20 / 100 = 0.2

So, Table-A is the correct answer.


Correct answer : (3)
 9.  
Express one and two hundredths as a decimal.
a.
12.0
b.
1.02
c.
0.102
d.
10.2


Solution:

One and two hundredths = 12 / 100

2 / 100 = 0.02

So, 12 / 100 = 1 + 0.02

= 1.02

So, the decimal for one and two hundredths is 1.02.


Correct answer : (2)
 10.  
Find the fraction for 0.69.
a.
69 10
b.
6.9 100
c.
69 100
d.
0.69 100


Solution:

0.69 = 69 / 100


Correct answer : (3)

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