Wiggles general...

Consider the wiggle expression ${\displaystyle 2_4{3}_{5}4{;}_6{5}_{7}6}$.  One way to calculate its value is to telescope from left and right towards the face value superdigit.  Telescoping from the left :

${\displaystyle 2\times 4 = 8,}$

${\displaystyle 8+3 =11,}$

${\displaystyle 11\times 5 = 55,}$

${\displaystyle 55+4; = 59;}$

Telescoping from the right :

${\displaystyle 6÷7 = \frac{6}{7},}$

${\displaystyle \frac{6}{7}+5 = 5\frac{6}{7} = \frac{41}{7},}$

${\displaystyle \frac{41}{7}÷6= \frac{41}{42}.}$

Combining these, we get

${\displaystyle 2_4{3}_{5}4{;}_6{5}_{7}6 = 59\frac{41}{42}.}$

We shall eventually see a more efficient process for the fractional part of such problems than telescoping from the right, but not just yet.