This set of Aptitude Questions and Answers (MCQs) focuses on “Converting Decimals to Fractions”.

1. What is the value of \(\frac{451}{10000}\) in decimal fraction?

a) 0.0451

b) 0.451

c) 0.0541

d) 0.00451

View Answer

Explanation: \(\frac{451}{10000}\)=451*10

^{-4}=0.0451.

2. What is the value of 88 hundredths?

a) 0.088

b) 8.8

c) 8800

d) 0.88

View Answer

Explanation: 88 hundredths = \(\frac{88}{100}\) = 0.88.

3. What is the value of 2.016 in fractions?

a) 251/124

b) 252/125

c) 263/128

d) 273/120

View Answer

Explanation: 2.016 = \(\frac{2016}{1000}=\frac{252}{125}\).

4. Which of the following is a correct vulgar fraction of 0.53?

a) 53/100

b) 53/99

c) 53/101

d) 54/100

View Answer

Explanation: To convert pure recurring decimal into vulgar fraction, write the repeated figures once in numerator and write as many nines in denominator as is the number of repeating figures.

0.53=\(\frac{53}{99}\).

5. Which of the following is a correct vulgar fraction of 0.275275275….?

a) 275/999

b) 27/99

c) 275/99

d) 2752/999

View Answer

Explanation: To convert pure recurring decimal into vulgar fraction, write the repeated figures once in numerator and write as many nines in denominator as is the number of repeating figures.

0.275275275… = 0.275 = \(\frac{275}{999}\).

6. Which of the following is pure recurring decimal?

a) 475/900

b) 21/90

c) 22/7

d) 322/7

View Answer

Explanation: A decimal fraction in which all figures after the decimal point are repeating is called a pure recurring decimal.

22/7 = 3.142857142857…… = 3.142857 is a pure recurring decimal.

7. Which of the following is a mixed recurring decimal?

a) 477/900

b) 475/900

c) 670/990

d) 375/999

View Answer

Explanation: A decimal fraction in which some figures do not repeat and some are repeated is called a mixed recurring decimal.

\(\frac{475}{900}\)=0.52777…=0.527 is a mixed recurring decimal.

8. Which of the following is a correct vulgar fraction of 0.17?

a) 17/99

b) 17/90

c) 16/90

d) 16/99

View Answer

Explanation: To convert mixed recurring decimal to vulgar fractions, in the numerator take the difference between the numbers formed by all the digits after decimal place (taking repeated digits only once) and that formed by the digits which are not repeated. In the denominator, take the number formed by as many nines as there are repeating digits followed by as many zeroes as is the number of non-repeating digits.

0.17 = \(\frac{17-1}{90}=\frac{16}{90}\).

9. Which of the following is a correct vulgar fraction of 1.927?

a) 106/55

b) 927/990

c) 918/990

d) 213/110

View Answer

Explanation: To convert mixed recurring decimal to vulgar fractions, in the numerator take the difference between the numbers formed by all the digits after decimal place (taking repeated digits only once) and that formed by the digits which are not repeated. In the denominator, take the number formed by as many nines as there are repeating digits followed by as many zeroes as is the number of non-repeating digits.

1.927 = 1+0.927=1+\(\frac{927-9}{990}\)=1+\(\frac{918}{990}=\frac{1908}{990}=\frac{106}{55}\).

10. Which of the following is a correct vulgar fraction of 9.8888…?

a) 18/10

b) 17/9

c) 99/10

d) 89/9

View Answer

Explanation: To convert pure recurring decimal into vulgar fraction, write the repeated figures once in numerator and write as many nines in denominator as is the number of repeating figures.

9.8888… = 9.8 = 9 + 0.8 = 9 + \(\frac{8}{9} = \frac{98}{9}\).

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