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 Find Friendly Fractions! (Posted on 2004-11-24)
Can you explain the relationship between 27 and 37 that produces 1/27=0.037037037... and 1/37=0.027027027...? (That is, each number forms the other number's repeating decimal.)

Can you provide other similar examples, possibly with more or fewer digits?

 See The Solution Submitted by Old Original Oskar! Rating: 3.5455 (11 votes)

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 What you're getting at? | Comment 4 of 14 |

27*37 = 999

1/999 = .001001001001...

To get other examples would require numbers that produce other strings of nines like 369*271=99999

1/369 = .002710027100271...

1/271 = .002690036900369...

It is less distinct with smaller examples 11*9 = 99

1/9 = .11 11 11... (spaces for clarification)

1/11 = .09 09 09...

-Jer

 Posted by Jer on 2004-11-24 14:40:25

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