如图计算圆代表的数字

1.589743589743...= 1+589743/999999
= 1+5957/10101
= 1+851/1443
= 1+23/39
= 1+1/(1+16/23)
= 1+1/(1+1/(1+7/16))
= 1+1/(1+1/(1+1/(2+2/7)))
= 1+1/(1+1/(1+1/(2+1/(3+1/2)))).
因此圆处为2.