The fraction of the repeating decimal 0.7... is 7/9
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.
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.
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The fraction for 0.03 repeating can be expressed as 3/100. This is because the decimal 0.03 repeating can be written as 3/100 in fraction form, where the 3 represents the repeating decimal part and the 100 represents the place value of the decimal. This fraction can also be simplified to 1/33 by dividing both the numerator and denominator by 3.
Any rational fraction such that, in its simplest form, the denominator contains a prime factor other than 2 and 5 will be a repeating decimal.
The fraction of the repeating decimal 0.7... is 7/9
It is a repeating decimal.
decimal and repeating bar
0.2 a repeating decimal into a fraction = 2/9
repeating decimal 1.1 as a fraction = 10/9
Every rational number can be expressed as a fraction
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.
It is an infinite non-repeating decimal which represents an irrational number.
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.
If you know what rational fraction it represents then, if the denominator in the fraction's simplest form has any prime factor other than 2 and 5, then it is a repeating decimal and if not it is terminating.Otherwise you need to examine the digits of the decimal representation in detail. Remember though, that the repeating string could be thousands of digits long (or even longer).
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