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Suppose there are c digits after the decimal place where the digits are non-repeating, and then you get a repeating pattern of a string of d digits.
Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10^c*(10^d - 1), which is a string of d 9s followed by c 0s.
For example
123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3.
So the numerator is 12326159 – 12326 = 12313833
and the denominator is 99900
Therefore the fraction is 12313833/99900.
What else can I help you with?
Can a rational number be repeating decimal?
Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...
What can I do if I get a repeating decimal?
You can round the decimal fraction to a suitable level of accuracy. Alternatively, you can convert the number to a rational fraction.
What is non terminatin repeating decimal?
A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
What rational number has 0.34 repeating as its decimal equivalent?
The rational number that has 0.34 repeating as its decimal equivalent can be expressed as a fraction. To convert the repeating decimal 0.34 to a fraction, we can use the formula for repeating decimals, which is x = a/(10^m - 1), where a is the repeating part of the decimal and m is the number of repeating digits. In this case, a = 34 and m = 2, so the fraction is 34/99. Therefore, the rational number is 34/99.
Is every rational number a repeating decimal?
No. A rational number is any terminating numeral. A repeating decimal is irrational.
Is a repeating decimal sometimes a rational number?
Repeating decimals are always rational.
Can every rational fraction be written as a repeating decimal?
Any rational number is either a repeating decimal, or a terminating decimal.
Can a rational number be a repeating decimal or a decimal?
Yes.
Is 2.33333333333 a rational number?
Since 2.33333... is a repeating decimal (or recurring decimal), it is a rational number.
Is 0.454545... an irrational number?
No. It is a rational number. Any repeating decimal or terminating decimal is rational.
Is a rational number a repeating decimal?
All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.
Is 8.2 a rational number?
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
