Which fraction represents the decimal 0 point 8 8 8 8 dot dot dot ?
Answer
A
the fraction with numerator 1 comma 111 and denominator 1 comma 250
B
80 over 99
C
9 eighths
D
8 ninths
Explanation
Let x = 0.8888…, where the 8 repeats forever. Then 10x = 8.8888…, so subtracting x from 10x gives 9x = 8, and therefore x = 8/9. The fraction 8/9 is choice D.
AI-written and checked against the verified answer.