1, the length of 60 cm can be divided into x segments, and the width of 45 cm can be divided into y segments.

Cut into squares of the same size, without any remaining.

Then 60/X=45/Y, which means x: y = 60: 45 = 4: 3.

So the maximum length of the cut square is 60/4= 15cm.

2. The simplest score converted from this score is 6/ 1 1.

It can be assumed that this score is 6x/11x.

There is also a fraction whose denominator is larger than the numerator 10.

Then11x-6x = 5x =10.

So X=2, and this score was originally 12/22.