Mixed cycle decimal, there are several numbers in the cycle segment and several 9' s in the denominator; There are several numbers that are not cyclic, so add a few zeros to the denominator; A molecule is the number of nodes that never cycle to a cycle minus the number of nodes that never cycle. The calculation method is as follows:
Solution:
(1), 1.4727 ... (Cycle node is "27")
1.42 27 27 27……
= 1+0.4227 ..
= 1+(4227-42)/9900
= 1+4 185/9900
= 1+837/ 1980
= 1 and 837/ 1980
(2), 0.003 1 31... (the number of circulating nodes is "31")
0.003 1 3 1 3 1 .....
=3 1/9900
(3), 2.04352 1 521521... (the number of circulating nodes is "521")
2.04352 152 152 1……
=2+0.043 52 1 ...
=2+(4352 1-43)/999000
=2+43478/999000
=2+2 1739/499500
=2 and 2 1739/499500