Question

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

Answer 1

B and E repeat infinitely.

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)