Question

0.362626262循环化成分数是什么？

Answer 1

0.3626262… × 1000 = 362.6262…
0.3626262… × 10 = 3.626262…
所以
(0.3626262… × 1000) - (0.3626262… × 10) = 362.6262… - 3.626262… = 359 （循环的62刚好全部减掉了）
而 (0.3626262… × 1000) - (0.3626262… × 10) = 0.3626262… × (1000 - 10) = 0.3626262… × 990
所以0.3626262… × 990=359
所以0.3626262… = 359/990

Answer 2

=3.626262÷10
=（3+26/99）÷10
=323/99÷10
=323/990

追答

不好意思。看错了。应该是
=3.626262÷10
=（3+0.62626262）÷10
=（3+62/99）÷10
=359/990