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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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Q: Which fraction can be represented by a repeating decimal?
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What is 2.53333333333 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.


What is the fraction of the repeating decimal 0.7...?

The fraction of the repeating decimal 0.7... is 7/9


What is 9.3 repeating as a fraction?

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.


What is 53.3 repeating in fraction form?

In fraction form, 53.3 repeating can be expressed as 533/9. To convert a decimal with a repeating decimal point to a fraction, we first determine the non-repeating part of the decimal (in this case, 53), then subtract it from the entire decimal to isolate the repeating part (0.3 repeating). Next, we express the repeating part as a fraction over 9 (since there is one digit repeating). Thus, 53.3 repeating is equal to 533/9 in fraction form.


How do you determine whether you can write a given decimal as a 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.

Related questions

How can a decimal greater than 1 be a repeating decimal?

A decimal number is like a mixed fraction: it has an integer part and a fractional part. If the fractional part is a repeating fraction then the whole number is represented by a repeating decimal.


What is 2.53333333333 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.


What is 0.777777777777777777777 as a fraction?

The repeating decimal 0.777777777777777777777 can be represented as 7/9 in fraction form. This is because the repeating decimal can be expressed as 7 repeating infinitely, and the denominator is determined by the number of repeating digits, which in this case is 9. Therefore, 0.777777777777777777777 is equivalent to 7/9.


What is the fraction of the repeating decimal 0.7...?

The fraction of the repeating decimal 0.7... is 7/9


Is the fraction 13 a terminating or repeating decimal?

It is a repeating decimal.


How can a repeating decimal turn into fraction?

decimal and repeating bar


What is 0.96 repeating in a fraction?

0.96 repeating can be represented as a fraction by multiplying both sides of the decimal by 100. This gives us 96.96 repeating. We can subtract the original decimal from the new one to get 99. Multiply both sides of this equation by 1/99 and simplify to get the fraction 96/99.


How do you convert 0.2 a repeating decimal into a fraction?

0.2 a repeating decimal into a fraction = 2/9


How do you write the repeating decimal 1.1 as a fraction?

repeating decimal 1.1 as a fraction = 10/9


How do you use non terminating decimal in a sentence?

The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.


What is 9.3 repeating as a fraction?

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.


What is 53.3 repeating in fraction form?

In fraction form, 53.3 repeating can be expressed as 533/9. To convert a decimal with a repeating decimal point to a fraction, we first determine the non-repeating part of the decimal (in this case, 53), then subtract it from the entire decimal to isolate the repeating part (0.3 repeating). Next, we express the repeating part as a fraction over 9 (since there is one digit repeating). Thus, 53.3 repeating is equal to 533/9 in fraction form.