Class 9 Exam > Class 9 Questions > Express 0.6(bar on 6) in p by q form?
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Express 0.6(bar on 6) in p by q form?
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Express 0.6(bar on 6) in p by q form?
Expressing 0.6(bar on 6) in p by q form
0.6(bar on 6) means repeating decimal, where the digit 6 repeats itself infinitely. To express this in p by q form, we need to follow the steps below:
Step 1: Identify the numerator
Let x = 0.6(bar on 6)
Multiplying both sides by 10, we get:
10x = 6(bar on 6)
Subtracting x from both sides, we get:
9x = 6
So, the numerator is 6.
Step 2: Identify the denominator
The number of repeating digits in the decimal gives us the number of 9’s in the denominator. In this case, we have one repeating digit, so we have one 9 in the denominator.
So, the denominator is 9.
Step 3: Write the answer in p by q form
Putting the numerator and denominator together, we get:
0.6(bar on 6) = 6/9
But 6 and 9 have a common factor of 3. So, we can simplify this fraction by dividing both the numerator and denominator by 3:
0.6(bar on 6) = 2/3
Therefore, the p by q form of 0.6(bar on 6) is 2/3.
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Express 0.6(bar on 6) in p by q form?
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Express 0.6(bar on 6) in p by q form? 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 0.6(bar on 6) in p by q form? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 0.6(bar on 6) in p by q form?.
Express 0.6(bar on 6) in p by q form? 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 0.6(bar on 6) in p by q form? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express 0.6(bar on 6) in p by q form?.
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