answersLogoWhite

0

Call this number "x", equal to 0.166166166...

1000x = 166.166166166...

x = 0.166166166...

Subtract the second equation from the first, you get:

999x = 166

Solving for x:

x = 166/999.

Note: I multiplied by 1000, because three digits are repeating (and 1000 has 3 digits).

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
JudyJudy
Simplicity is my specialty.
Chat with Judy
More answers

166/199

User Avatar

Wiki User

10y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What fraction will produce this recurring decimal 166166166?
Write your answer...
Submit
Still have questions?
magnify glass
imp