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.
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.
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.
1/9
The decimal 0.74074074 can be expressed as the fraction 74074074/100000000. To simplify, it can be noted that this decimal is a repeating decimal, which can also be represented as 740/999. Thus, the simplest form of the fraction is 74/99.
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.
The fraction of the repeating decimal 0.7... is 7/9
decimal and repeating bar
It is a repeating decimal.
The decimal 0.4583333333 can be expressed as the fraction ( \frac{11}{24} ). This is derived from recognizing that the repeating decimal part, 0.4583..., can be represented as ( \frac{11}{24} ) by converting the repeating decimal into a fraction through algebraic methods. Thus, 0.4583333333 equals ( \frac{11}{24} ).
0.2 a repeating decimal into a fraction = 2/9
repeating decimal 1.1 as a fraction = 10/9
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.
The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.