#### Solved Examples and Worksheet for Fractions related to Decimals

Q1Convert 210 into a decimal.

A. 0.2
B. 20
C. 0.02
D. 2

Step: 1
210 = 0.2
[The digit on the extreme right is in tenths place. So, 2 tenths = 210.]
Q2Choose the correct fraction equivalent of 0.3.

A. 103
B. 31000
C. 310
D. 3100

Step: 1
0.3 = 310
[The digit on the extreme right is in the tenth's place. So, 3 tenths = 310.]
Q3Identify the decimal form of 51100.

A. 0.51
B. 51
C. 5.1
D. 0.051

Step: 1
51100 means 51 out of 100 parts.
Step: 2
51100 can be written as 0.51 .
Q4Express 1.12 as a fraction.

A. 112100
B. 11210
C. 12100
D. 1121000

Step: 1
Read the number as one and twelve hundredths.
Step: 2
So, the number in the denominator is 100.
Step: 3
So, 1.12 = 112100.
Q5Convert 25100 into decimal form.

A. 2.5
B. 0.25
C. None of the above

Step: 1
25100
[Original expression.]
Step: 2
210 + 5100
[Expand the number so as to divide into corresponding decimal equivalents.]
Step: 3
0.2 + 0.05
[Convert the fractions into decimal form.]
Step: 4
= 0.25
Q6The grid shown is shaded to represent the decimal 0.99. Identify a fraction equivalent to the decimal. A. 1100
B. 9910
C. 99100

Step: 1
The grid shown is divided into 100 equal parts.
Step: 2
As ninety-nine out of hundred parts are shaded, the decimal represented by the grid is 0.99.
Step: 3
0.99 can be written as 99100 .
Step: 4
So, the fraction equivalent to the decimal is 99100.
Q7Identify the decimal form of 33100.

A. 33
B. 3.3
C. 0.33

Step: 1
33100 means 33 out of 100 parts.
Step: 2
33100 can be written as 0.33 .
Q8Convert 35100 into decimal form.

A. 35.0
B. 3.5
C. 0.35
D. None of the above

Step: 1
35100
[Original expression.]
Step: 2
310 + 5100
[Expand the number so as to divide into corresponding decimal equivalents.]
Step: 3
0.3 + 0.05
[Convert the fractions into decimal form.]
Step: 4
= 0.35
Q9The shaded region represents the fraction 7100. Choose the decimal equivalent to the fraction. A. 0.07
B. 0.0007
C. 0.7
D. 0.007

Step: 1
The fraction represented by the figure is 7100.
[7 out of 100 cells are shaded.]
Step: 2
The decimal number for 7100 is 0.07.
[As the denominator has two zeroes, put the decimal point two places to the left of 7.]
Step: 3
The decimal number that represents the shaded region is 0.07.
Q10Convert 0.5 to a fraction.

A. 105
B. 510
C. 5100
D. 5110

Step: 1
5 parts out of 10 equal parts is five tenths or 0.5.
Step: 2
The fraction for 0.5 is 510.
Step: 3
So, 0.5 = 510.