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Let ( x = 0.7878\ldots ). To eliminate the repeating part, multiply both sides by 100: ( 100x = 78.7878\ldots ). Now, subtract the original equation from this one: ( 100x - x = 78.7878\ldots - 0.7878\ldots ), which simplifies to ( 99x = 78 ). Therefore, ( x = \frac{78}{99} ), and simplifying this fraction by dividing both the numerator and denominator by 33 gives ( x = \frac{26}{33} ). Thus, ( 0.7878\ldots = \frac{26}{33} ).
What else can I help you with?
What is 0.83 as a repeating decimal in simplest fraction form?
It is 5/6.
How do you make 1.63 repeating decimal a fraction?
You would have to round the repeating decimal to the nearest fraction, which is 63/100. It would be 1 63/100. It is in simplest form.
How do you express the repeating decimal 0.15 as a fraction in its simpest form?
5/33
Write The repeating decimal 0.7 as a fraction in simplest form?
It is 7/9.
How does 1 over 3 to 100th power have a repeating or terminating decimal representation?
It is repeating. Any fraction in simplest terms which has ANY prime factor other than 2 or 5 in its denominator will be a repeating fraction.
How can you predict whether a quotient will be terminating decimal or a repeating decimal?
If the denominator of the fraction, when written in its simplest form, has any prime factor other than 2 or 5 then it will be a repeating decimal fraction otherwise it will terminate.
What can you predict whether a quotient will be a terminating decimal or repeating decimal?
If the denominator of the fraction, when written in its simplest form, has any prime factor other than 2 or 5 then it will be a repeating decimal fraction otherwise it will terminate.
Why is 411 a repeating decimal?
4/11 is a repeating decimal because, in its simplest from, the denominator of the rational fraction has a factor other than 2 or 5.
Is 9 over 7 a decimal fraction?
No. (Though you could express it in decimal form, as 1.285714285714..., a repeating non-terminating decimal.)
Which fraction can be represented by a repeating decimal?
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.
What is 0.3 with a line over top to simplest fraction 4?
The number 0.3 with a line over it (0.3̅) represents the repeating decimal 0.3333..., which is equivalent to the fraction 1/3. To express this in simplest form, 1/3 cannot be simplified further. Therefore, the simplest fraction for 0.3̅ is 1/3.
What is 0.1 repeating in a fraction?
1/9
