Răspuns:
Explicație pas cu pas:
0,(3) = (3/9)⁽³ = (3:3)/(9:3) = 1/3
1,(15) = (115 - 1)/99 =(114/99)⁽³ = (114:3)/(99:3) = 38/33
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[0,(3) × 1,(15) ] + ( 2,27 - 2,01) =
= [ ( 1/3) × 38/33] + 0.26 =
= ¹⁰⁰⁾38/99 + ⁹⁹⁾26/100 =
= 3800/9900 + 2574/9900 =
= 6374/9900⁽² =
= 3187/4950 =
= 0,64(38)
