Which fraction represents the decimal 0 point 8 8 8 8 dot dot dot ?
Answer
A
9 eighths
B
8 ninths
C
80 over 99
D
the fraction with numerator 1 comma 111 and denominator 1 comma 250
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.
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