1/27 = 0.037037037...
1/37 = 0.027027027...
What is the relationship between these two decimals? How would I find other pairs of decimals with the same relationship?
Hello, thamathkid1729!
What is the relationship between these two decimals?
How would I find other pairs of decimals with the same relationship?
We have: .
. . . . . . . .
We have: .
Therefore:
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
This can be readily generalized.
For four-digit decimal cycles: .
Therefore:
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
For your amusement, a seven-digit cycle:
. .