Communicating With Aliens via Recurring Decimals - Joyous Maths Pt. 1

Have you watched Arrival? If not, here’s the synopsis. 12 alien vessels appear unannounced and hover over 12 different locations on Earth. Experts from different countries make contact with the extra-terrestrials, trying to decide if they are friend or foe. The only problem is that the aliens communicate using arcane circular symbols, unintelligible to Earthlings. The breakthrough comes with the discovery of the encrypted repeating decimal of 0.08̅3̅ (i.e. 0.08333…) in the sy