One of our genius-level mathematics students delights in taunting the staff with difficult upper-level math problems (which he writes on the board in one of our private tutoring rooms). The one that he provided us with this week is particularly maddening, and so we’ve decided to solicit some answers from the outside. This week’s conundrum?

I’ll denote a repeating decimal by .[abc]
Convert this decimal to fractional form and simplify: .[1273]
In addition, prove why 1/3 = .[3] using the same method you used to figure out the previous

The first person to solve the problem will get a $50 gift certificate towards private tutoring or a prep class, along with a very nice Chyten water bottle.

To provide your answer, first a) like us on Facebook, and then b) post your answer as a comment!

Good luck!