Question

Zamien na ułamek zwykły

Answer 1

A)
1,2(4)=1,24444444444...
1+0,2(4) = 1 + 0,2444444....
0,2(4) = x
0,244444.... = x /*10
2,44444444444 = 10x
10x-x = 2,444444 - 0,24444444
9x=2,2 //:9




b)
0,(03)=0,030303030.... = x
x = 0,0303030... //*100
100x=3,030303...
100 - x = 3,030303... - 0,030303...
99x = 3


c)
0,1(12)=0,11212121212.... = x
x = 0,11212121212....//*1000
1000x=112,12121212...
1000x - 10x = 112,12121212.... - 1,1212121212....
990x = 111