express (.a1a2a3a4a5) n with a3a4a5 repeated as a quotient of base integers. Solution Well, I would decompose your number as: .a1a2 + n^-2 * .a3a4a5 (bar). The first term should be easy; for the last part after the power of n (call it X), note that X*n^3 - X = a3a4a5, and solve for X. Then you should be able to combine the parts into a single fraction. .

1. express (.a1a2a3a4a5) n with a3a4a5 repeated as a quotient of base integers.
Solution
Well, I would decompose your number as: .a1a2 + n^-2 * .a3a4a5 (bar).
The first term should be easy; for the last part after the power of n (call it X), note that X*n^3 - X
= a3a4a5, and solve for X. Then you should be able to combine the parts into a single fraction.