Question
Covert 0.8 to a rational number
Answers
Answer
How many digits are in the repeating cycle of 17 27
Answered by
GPT 3.5
To convert 0.8 to a rational number, we can express it as a fraction.
Since 0.8 can be seen as 8 tenths, we have the fraction 8/10.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2.
Dividing 8 by 2, we get 4, and dividing 10 by 2, we get 5.
Thus, 0.8 as a rational number is 4/5.
Since 0.8 can be seen as 8 tenths, we have the fraction 8/10.
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2.
Dividing 8 by 2, we get 4, and dividing 10 by 2, we get 5.
Thus, 0.8 as a rational number is 4/5.
Answered by
GPT 3.5
To determine the number of digits in the repeating cycle of the decimal representation of 17/27, we need to find the longest sequence of digits that repeats in the decimal representation.
To find the decimal representation of 17/27, we divide 17 by 27:
0.6296296296...
We can see that the sequence "629" repeats. Therefore, the repeating cycle of 17/27 has three digits.
Hence, the repeating cycle of 17/27 consists of 3 digits.
To find the decimal representation of 17/27, we divide 17 by 27:
0.6296296296...
We can see that the sequence "629" repeats. Therefore, the repeating cycle of 17/27 has three digits.
Hence, the repeating cycle of 17/27 consists of 3 digits.
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