Odpowiedzi

2009-09-13T12:46:25+02:00
A)
x = 0.(3) /×10
10x = 3
10x = 2.7 + 0.(3)
10x = 2.7 + x
9x = 2.7
x = 0.3 = 3/10

b)
x = 0.1(6) /×10
10x = 1.6(6)
10x = 1.5 + 0.1(6)
10x = 1.5 + x
9x = 1.5
x = 0.1666 ≈ 0.17 = 17/100
2009-09-13T12:54:09+02:00
0.3333333=X / 10
3.3333333=10x
3+0,33333
3+x=10x
3=10x-x
3=9x/9

3/9=x
0.(3)=3/9=1/6

0.16666666=x /10
6.16666666=10x
6+0,166666
6+x=10x
6=10x-x
6=9x /9
6/9=x
0.1(6)=1/6
2009-09-13T13:33:53+02:00
0,3 to ułamek ⅓
0,6 to ułamek ⅙