Recent content by cshao123

Suppose you begin with the fraction 1/1. There are 2 rules: a)If you can make a fraction a/b where a/b is in its lowest terms, then you can also make b/2a. b)If you can make a/b and c/d where they are both in lowest terms, you can also make (a+c)/(b+d). Prove that you can make all fractions...

Ah ok that’s nice! Any ideas how to prove no fractions are left out?

Thank you! How would you go about proving you can't make any fractions below 1/2?

Sorry I didn't word this very well! So you can make 1/2 by using the y/2x rule, and continue using the rules in the question to make more fractions.

Suppose you have the fraction 1/1. If you can make a fraction x/y, you can also make y/(2x). Also, if you can make x/y and a/b where GCD(x,y)=GCD(a,b)=1, you can make (x+a)/(y+b). Which fractions can you make?