将0.125【1到5循环】和0.425【2到5循环】分别化成最简分数？
2个回答
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x=0.125125125 ... (1)
1000x =125.125125... (2)
(2)-(1)
999x=125
x=125/999
0.125【1到5循环】 =125/999
y=0.0252525... (3)
100y=2.52525.... (4)
(4)-(3)
99y= 2.5
y=25/990 = 5/198
0.425【2到5循环】
=0.4 +0.02525...
=2/5 + 5/198
=(396+25)/990
=421/990
1000x =125.125125... (2)
(2)-(1)
999x=125
x=125/999
0.125【1到5循环】 =125/999
y=0.0252525... (3)
100y=2.52525.... (4)
(4)-(3)
99y= 2.5
y=25/990 = 5/198
0.425【2到5循环】
=0.4 +0.02525...
=2/5 + 5/198
=(396+25)/990
=421/990
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