Zapisz w postaci ułamka zwykłego nieskracalnego:
a) 0,(6)=
b) 0,(15)=
c) 0,(08)=
a) 0,(6)x = 0,666...10x = 6,666...10x - x = 6,666... - 0,666...9x = 6/:9x = 6/9 = 2/3
============================================b) 0,(15)x = 0,1515...100x = 15,1515...100x - x = 15,1515... -0,1515...99x = 15/:99x = 15/99============================================c) 0,(08)x = 0,0808...100x = 8,0808...100x - x = 8,0808.. - 0,0808..99x = 8/:99x = 8/99
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a) 0,(6)
x = 0,666...
10x = 6,666...
10x - x = 6,666... - 0,666...
9x = 6/:9
x = 6/9 = 2/3
============================================
b) 0,(15)
x = 0,1515...
100x = 15,1515...
100x - x = 15,1515... -0,1515...
99x = 15/:99
x = 15/99
============================================
c) 0,(08)
x = 0,0808...
100x = 8,0808...
100x - x = 8,0808.. - 0,0808..
99x = 8/:99
x = 8/99