Which of the following decimals has the longest repeating cycle?
Show answer & explanation
Correct answer: B
Explanation
Look at the decimal forms:
1/6 = 0.1666...
Repeating cycle = 6 → Length 1
1/7 = 0.142857142857...
Repeating cycle = 142857 → Length 6
1/9 = 0.1111...
Repeating cycle = 1 → Length 1
1/11 = 0.090909...
Repeating cycle = 09 → Length 2
The longest repeating cycle is in 1/7.