设有分数b/a,d/c(a,b,c,d)为正整数,且b/a

设有分数b/a,d/c(a,b,c,d)为正整数,且b/a
设有分数b/a,d/c(a,b,c,d)为正整数,且b/a

设有分数b/a,d/c(a,b,c,d)为正整数,且b/a
∵(d/c-b/a)/6=(ad-bc)/(6ac)
∴b/a+(ad-bc)/(6ac)=(ad+5bc)/(6ac)
b/a+2*(ad-bc)/(6ac)=(ad+2bc)/(3ac)
b/a+3*(ad-bc)/(6ac)=(ad+3bc)/(2ac)
b/a+4*(ad-bc)/(6ac)=(2ad+bc)/(3ac)
b/a+5*(ad-bc)/(6ac)=(5ad+bc)/(6ac)
∴b/a