If the fraction, in its simplest rational form, has a denominator which has any prime factor other than 2 or 5, then proper representation of the fraction requires the use of repeating decimal.
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The fraction of the repeating decimal 0.7... is 7/9
The number 9.3 repeating can be expressed as a fraction by understanding that the repeating decimal 0.3 can be represented as 3/9 or 1/3. Therefore, 9.3 repeating is equivalent to 9 + 1/3, which simplifies to 28/3 when converted to an improper fraction.
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
To convert the decimal 2.53333333333 to a fraction, we first identify the repeating decimal pattern, which is 0.53333333333. This repeating decimal can be represented as 53/99, where the numerator is the repeating part (53) and the denominator is the number of nines equal to the length of the repeating part. Therefore, 2.53333333333 as a fraction is 2 53/99.
0.166666666 as a fraction is best represented as 1/6. To convert the decimal to a fraction, you can see that the repeating decimal 0.166666666 can be simplified to 1/6 by dividing both the numerator and denominator by 0.166666666, which equals 1.