Bank Exams Exam > Bank Exams Questions > When 0.232323..... is converted into a fracti...
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When 0.232323..... is converted into a fraction, then the result is:
- a)2/9
- b)1/5
- c)23/99
- d)23/100
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
When 0.232323..... is converted into a fraction, then the result is:a)...
Let x = 0.23232323 ….
100 × x = 100 × 0.23232323 ….
100x = 23.23232323 ….
100x = 23 + 0.23232323 ….
100x = 23 + x
99x = 23
x = 23/99
Most Upvoted Answer
When 0.232323..... is converted into a fraction, then the result is:a)...
Understanding the Decimal
To convert the repeating decimal 0.232323... into a fraction, we can use a systematic approach.
Step 1: Assign a Variable
Let x = 0.232323...
Step 2: Eliminate the Repeating Part
To eliminate the repeating decimal, multiply both sides of the equation by 100 (since the repeating block has two digits):
100x = 23.232323...
Step 3: Set Up an Equation
Now, we have two equations:
1. x = 0.232323...
2. 100x = 23.232323...
Next, subtract the first equation from the second:
100x - x = 23.232323... - 0.232323...
Step 4: Simplify the Equation
This simplifies to:
99x = 23
Step 5: Solve for x
Now, divide both sides by 99:
x = 23 / 99
Final Result
Thus, the repeating decimal 0.232323... can be expressed as the fraction 23/99.
Conclusion
The correct answer is option 'C': 23/99.
To convert the repeating decimal 0.232323... into a fraction, we can use a systematic approach.
Step 1: Assign a Variable
Let x = 0.232323...
Step 2: Eliminate the Repeating Part
To eliminate the repeating decimal, multiply both sides of the equation by 100 (since the repeating block has two digits):
100x = 23.232323...
Step 3: Set Up an Equation
Now, we have two equations:
1. x = 0.232323...
2. 100x = 23.232323...
Next, subtract the first equation from the second:
100x - x = 23.232323... - 0.232323...
Step 4: Simplify the Equation
This simplifies to:
99x = 23
Step 5: Solve for x
Now, divide both sides by 99:
x = 23 / 99
Final Result
Thus, the repeating decimal 0.232323... can be expressed as the fraction 23/99.
Conclusion
The correct answer is option 'C': 23/99.
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Question Description
When 0.232323..... is converted into a fraction, then the result is:a)2/9b)1/5c)23/99d)23/100Correct answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about When 0.232323..... is converted into a fraction, then the result is:a)2/9b)1/5c)23/99d)23/100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 0.232323..... is converted into a fraction, then the result is:a)2/9b)1/5c)23/99d)23/100Correct answer is option 'C'. Can you explain this answer?.
When 0.232323..... is converted into a fraction, then the result is:a)2/9b)1/5c)23/99d)23/100Correct answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about When 0.232323..... is converted into a fraction, then the result is:a)2/9b)1/5c)23/99d)23/100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 0.232323..... is converted into a fraction, then the result is:a)2/9b)1/5c)23/99d)23/100Correct answer is option 'C'. Can you explain this answer?.
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