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In Mathematics / Middle School | 2014-09-24

Convert the repeating decimal 1.063636363... to a fraction.

Asked by Dylan10291

Answer (2)

1.0636363636 is repeating decimals of a fraction 50 / 47.
To get the answer, let’s convert first our repeating decimals into a fraction
=> 106363 / 100 000
=> Now that we have our repeating decimals, we need to find its simplest form.
=> Thus the simplest form of our repeating decimals is:
=> 50 / 40
To check the answer simply divide our denominator from our numerator.
=> 50 / 47
=> 1.06363636…

Answered by taskmasters | 2024-06-10

To convert the repeating decimal 1.063636363... into a fraction, we set x = 1.063636363... and isolate the repeating part. After simplifying the resulting equation, we find that 1.063636363... equals the fraction 330 351 ​ .
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Answered by taskmasters | 2024-12-26