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Express 0.246bar as a rational number in simplest form.?
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Express 0.246bar as a rational number in simplest form.?
Converting 0.246 bar to a rational number in simplest form
Step 1: Understanding the Given Decimal
- The decimal 0.246 bar indicates that the digit 6 repeats infinitely.
Step 2: Let x = 0.246 bar
- Multiply x by 1000 to eliminate the repeating bar: 1000x = 246.246 bar
Step 3: Subtract x from 1000x
- 1000x - x = 246.246 bar - 0.246 bar
- 999x = 246
- x = 246/999
Step 4: Simplify the Fraction
- The fraction 246/999 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3.
- Simplifying, we get 82/333
Therefore, the rational number equivalent of 0.246 bar in simplest form is 82/333.
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Express 0.246bar as a rational number in simplest form.?
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Express 0.246bar as a rational number in simplest form.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Express 0.246bar as a rational number in simplest form.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 0.246bar as a rational number in simplest form.?.
Express 0.246bar as a rational number in simplest form.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Express 0.246bar as a rational number in simplest form.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 0.246bar as a rational number in simplest form.?.
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