Ułamek okresowy zamień na nieskracalny ułamek zwykły :
a) 0,(36)
b) 0,4(6)
c) 0,1(2)
d) 0,(023)
e) 0,1(28)
a)
0,(36)
100x=36,(36)
10000x=3636,(36)
9900x=3600
x=3600/9900=36/99=4/11
b)
0,4(6)
10x=4,(6)
100x=46,(6)
90x=42
x=42/90=7/15
c)
0,1(2)
10x=1,(2)
100x=12,(2)
90x=11
x=11/90
d)
0,0(023)
10x=0,(023)
10000x=23,(023)
9990x=23
x=23/9990
e)
0,1(28)
10x=1,(28)
1000x=128,(28)
990x=127
x=127/990
a)0,(36)
b)0,4(6)
c)0,1(2)
d)0,0(023)
e)0,1(28)
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a)
0,(36)
100x=36,(36)
10000x=3636,(36)
9900x=3600
x=3600/9900=36/99=4/11
b)
0,4(6)
10x=4,(6)
100x=46,(6)
90x=42
x=42/90=7/15
c)
0,1(2)
10x=1,(2)
100x=12,(2)
90x=11
x=11/90
d)
0,0(023)
10x=0,(023)
10000x=23,(023)
9990x=23
x=23/9990
e)
0,1(28)
10x=1,(28)
1000x=128,(28)
990x=127
x=127/990
a)0,(36)
100x=36,(36)
10000x=3636,(36)
9900x=3600
x=3600/9900=36/99=4/11
b)0,4(6)
10x=4,(6)
100x=46,(6)
90x=42
x=42/90=7/15
c)0,1(2)
10x=1,(2)
100x=12,(2)
90x=11
x=11/90
d)0,0(023)
10x=0,(023)
10000x=23,(023)
9990x=23
x=23/9990
e)0,1(28)
10x=1,(28)
1000x=128,(28)
990x=127
x=127/990