Przedstaw liczbę w postaci ułamka zwykłego.
A)0,(4) B)0,8(3) C)0,(36) D)1,(03) E)0,(117) F)0,0(6)
Proszę o pomoc (jak by co to w nawiasie są okresowe)
Liczę na ODP
DAJE NAJJJ
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A)0,(4)
x = 0,444...
10x = 4,444...
10x - x = 4,444... - 0,444..
9x = 4/:9
x = 4/9
=======================================
B)0,8(3)
x = 0,8333...
100x = 83,333...
100x - 10x = 83,333... - 8,333...
90x = 75/:90
x = 75/90
=======================================
C)0,(36)
x = 0,3636...
100x = 36,3636...
100x - x = 36,3636... - 0,3636...
99x = 36/:99
x = 36/99
=======================================
D)1,(03)
x = 1,0303...
100x = 103,0303...
100x - x = 103,0303... - 1,0303..
99x = 102/:99
x = 102/99
=======================================
E)0,(117)
x = 0,117...
1000x = 117,117...
1000x - x = 117,117.. - 0,117...
999x = 117/:999
x = 117/999
=======================================
F)0,0(6)
x = 0,066...
100x = 6,666...
100x - 1x = 6,666... - 0,0666..
99x = 6,6/:99
x = 6,6/99