Which of the following fractions give a decimal answer whose non-zero digits repeat infinitely many times? Select all that apply.

A) 6/4
B) 4/11
C) 9/8
D) 5/7
E) 8/9
F) 7/8

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Answer:

B and E repeat infinitely.

Step-by-step explanation:

A) 6/4  = 1.5 (ends)

B) 4/11  ≈ 0.36363636...  (repeats 36 forever)

C) 9/8  = 1.125 (ends)

D) 5/7  ≈ 0.7143  (does not repeat)

E) 8/9  ≈ 0.88888888...  (repeats 8 forever)

F) 7/8 = 0.875  (ends)