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Express 2.3 bar in the form of p/q where p and q are integers and q≠0?
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Express 2.3 bar in the form of p/q where p and q are integers and q≠0?
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Converting 2.3 bar to a Fraction
Converting a repeating decimal like 2.3 bar to a fraction involves recognizing the pattern of the repeating digits and representing it in the form of p/q.
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Identifying the Repeating Pattern
In the decimal 2.3 bar, the digit 3 repeats indefinitely. To express this as a fraction, we first need to identify the repeating pattern.
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Let x = 2.3 bar
Let x equal 2.3 bar. Multiplying x by 10 shifts the decimal point to the right, so 10x = 23.3 bar. Subtracting x from 10x eliminates the repeating part: 10x - x = 9x = 23.3 - 2.3 = 21.
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Expressing as a Fraction
Now that we have 9x = 21, we can solve for x by dividing both sides by 9: x = 21/9 = 7/3.
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Final Answer
Therefore, the decimal 2.3 bar is equivalent to the fraction 7/3. In this form, the decimal is expressed as a simple fraction where p = 7 and q = 3, satisfying the condition that q ≠ 0.
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Express 2.3 bar in the form of p/q where p and q are integers and q≠0?
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Express 2.3 bar in the form of p/q where p and q are integers and q≠0? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Express 2.3 bar in the form of p/q where p and q are integers and q≠0? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 2.3 bar in the form of p/q where p and q are integers and q≠0?.
Express 2.3 bar in the form of p/q where p and q are integers and q≠0? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Express 2.3 bar in the form of p/q where p and q are integers and q≠0? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 2.3 bar in the form of p/q where p and q are integers and q≠0?.
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