why don't you reduce to lowest terms ?
by doing that I found 2 pairs very quickly.
as for g/5 = 6/10
the simplest way to handle these is to cross-multiply, so ...
10g = 30
g = 3
ratios- which pairs could form a proportion? 1. 10/24, 7/18 2. 6/9,10/15, 3. 3/4, 18/24
also g/5 = 6/10 solve
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