Question:
The value of 0.18 (with the 1 and 8 repeating) is equal to:
The value of 0.18 (with the 1 and 8 repeating) is equal to:
Show Hint
When two digits repeat, multiply by 100. When one digit repeats, as in 0.333..., multiply by 10. This helps eliminate the repeating part when you subtract.
Updated On: Feb 15, 2025
- 2/11
- 2/33
- 2/99
- 8/33
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Let x = 0.181818...
Since both the 1 and 8 repeat, we multiply by 100:
100x = 18.181818...
Subtract the original equation from this new equation:
100x - x = 18.181818... - 0.181818...
99x = 18
x = 18/99
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (which is 9):
x = (18 ÷ 9) / (99 ÷ 9)
x = 2/11
Therefore, the correct answer is (A) 2/11.
Conclusion: The repeating decimal 0.181818... is equal to the fraction 2/11.
Conclusion: The repeating decimal 0.181818... is equal to the fraction 2/11.
Was this answer helpful?
0
0
Top Questions on Decimals
Questions Asked in NIFT exam
- Spot the error in the given sentence:
\(\underline{\text{The visitors}}\) \(\underline{\text{complained on}}\) \(\underline{\text{the poor accommdodation}}\) \(\underline{ \text{they were given}. }\)
- NIFT - 2024
- Error Spotting
- Spot the error in the given sentence:
\(\underline{\text{He will not} }\)\(\underline{\text{escape punishment unless}}\) \(\underline{\text{he does not speak}}\) \(\underline{\text{the truth}. }\)- NIFT - 2024
- Error Spotting
Spot the error in the given sentence:
\(\underline{\text{He and the other}}\) \(\underline{\text{members of the group}} \underline{\text{spoke after}} \underline{\text{their final victory}}. \)- NIFT - 2024
- Error Spotting
- Read the given passage and answer the question that follows:
Biological classification of plants and animals was first proposed by Aristotle on the basis of simple morphological characters. Linnaeus later classified all living organisms into two kingdoms- Plantae and Animalia. Whittaker proposed an claborate five kingdom classification- Monera, Protista, Fungi, Plantae and Animalia. The main criteria of the five kingdom classification were cell structure, body organisation, mode of nutrition and reproduction. and phylogenetic relationships.
In the five kingdom classification. bacteria are included in Kingdom Monera. Bacteria are cosmopolitan in distribution. These organisms show the most extensive metabolic diversity. Bacteria may be autotrophic or heterotrophic in their mode of nutrition. Kingdom Protista includes all single-celled eukaryotes such as Chrysophytes. Dinoflagellates. Euglenoids. Slime-moulds and Protozoans. Protists have defined nucleus and other membrane bound organelles. They reproduce both asexually and sexually. Members of Kingdom Fungi show a great diversity in structures and habitat. Most Fungi are saprophytic in their mode of nutrition. They show asexual and sexual reproduction. Phycomycetes. Ascomycetes. Basidiomycetes and Deuteromycetes are the four classes under this kingdom. The plantae includes all eukaryotic chlorophyll-containing organisms. Algae. bryophytes. pteridophytes. gymnosperms and angiosperms are included in this group. The life cycle of plants exhibit alternation of generations- gametophytic and sporophytic generations. The heterotrophic eukaryotic, multicellular organisms lacking a cell wall are included in the kingdom Animalia. The mode of nutrition of these organisms is holozoic. They reproduce mostly by the sexual mode. Some acellular organisms like viruses and viroids as well as the lichens are not included in the five kingdom system of classification.- NIFT - 2024
- Reading Comprehension
- Read the given passage and answer the question that follows:
Who decides which constituency is to be reserved? On what basis is this decision taken? This decision is taken by an independent body called the Delimitation Commission. The Delimitation Commission is appointed by the President of India and works in collaboration with the Election Commission of India. It is appointed for the purpose of drawing up the boundaries of constituencies all over the country. A quota of constituencies to be reserved in each State is f ixed depending on the proportion of SC or ST in that State. After drawing the boundaries. the Delimitation Commission looks at the composition of population in each constituency. Those constituencies that have the highest proportion of Scheduled Tribe population are reserved for ST. In the case of Scheduled Castes, the Delimitation Commission looks at two things. It picks constituencies that have higher proportion of Scheduled Caste population. But it also spreads these constituencies in different regions of the State. This is done because the Scheduled Caste population is generally spread evenly throughout the country. These reserved constituencies can be rotated each time the Delimitation exercise is undertaken- NIFT - 2024
- Reading Comprehension
View More Questions