A bit later on Paxti has managed to get 9^6 = 531445 (nb: close enough), and 19/12 = 1.58something.  Now she just has to figure out how that all fits together with 8/9, or three 2s and two 3s.  She has a number for nineteen 2s and twelve 3s, 19/12 looks like the number of 2s in a 3, there'll be 2*19/12 2s in a 9, so it's 2*19/12 = 19/6.  Subtract 3 2s for the 8, and... 19/6 - 3 = 19/6 - 18/6 = ...

Message Keltham:  I get that there's exactly 1/6th of a 2 in an 8/9, does that make any sense?

A bit later on Paxti has managed to get 9^6 = 531603 (nb: close enough), and 19/12 = 1.58something.  Now she just has to figure out how that all fits together with 8/9, or three 2s and two 3s.  She has a number for nineteen 2s and twelve 3s, 19/12 looks like the number of 2s in a 3, there'll be 2*19/12 2s in a 9, so it's 2*19/12 = 19/6.  Subtract 3 2s for the 8, and... 19/6 - 3 = 19/6 - 18/6 = ...

Message Keltham:  I get that there's exactly 1/6th of a 2 in an 8/9, does that make any sense?

A bit later on Paxti has managed to get 9^6 = 531603 (nb: close enough), and 19/12 = 1.58something.  Now she just has to figure out how that all fits together with 8/9, or three 2s and two 3s.

She has a number for nineteen 2s and twelve 3s, 19/12 looks like the number of 2s in a 3, there'll be 2*19/12 2s in a 9, so it's 2*19/12 = 19/6.  Subtract 3 2s for the 8, and... 19/6 - 3 = 19/6 - 18/6 = ...

Message Keltham:  I get that there's exactly 1/6th of a 2 in an 8/9, does that make any sense?

A bit later on Paxti has managed to get 9^6 = 531603 (nb: close enough), and 19/12 = 1.58something.  Now she just has to figure out how that all fits together with 8/9, or three 2s and two 3s.

Nineteen 2s equals twelve 3s.  You need more 2s than 3s to make up something, so that makes sense.  19/12 is the number of 2s in a 3.  There'll be 2*19/12 2s in a 9, so it's 2*19/12 = 19/6.  Subtract 3 2s for the 8, and... 19/6 - 3 = 19/6 - 18/6 = ...

Message Keltham:  I get that there's exactly 1/6th of a 2 in an 8/9, does that make any sense?

A bit later on Paxti has managed to get 9^6 = 531603 (close enough), and 19/12 = 1.58something.  Now she just has to figure out how that all fits together with 8/9, or three 2s and two 3s.

Nineteen 2s equals twelve 3s.  You need more 2s than 3s to make up something, so that makes sense.  19/12 is the number of 2s in a 3.  There'll be 2*19/12 2s in a 9, so it's 2*19/12 = 19/6.  Subtract 3 2s for the 8, and... 19/6 - 3 = 19/6 - 18/6 = ...

Message Keltham:  I get that there's exactly 1/6th of a 2 in an 8/9, does that make any sense?