Question

Przedstaw w postaci ułamków zwykłych liczby:

0,(72); 0,21); 1,03, 3,(24); 5,(003); 3(57); 0,0(2)

Answer 1

0,(72)
x = 0,7272...

100x = 72,7272...
100x - x = 72,7272.. - 0,7272..
99x = 72/:99
x = 72/99
===============================================
0,21)
x = 0,2121...

100x = 21,2121...
100x - x = 21,2121.. - 0,2121..
99x = 21/:99
x = 21/99
===============================================
1,03 = 103/100
===============================================
3,(24)
x = 3,2424..

100x = 324,2424...
100x - x = 324,2424... - 3,2424...
99x = 321/:99
x = 321/99
=========================================
5,(003)
x = 5,003...

1000x = 5003,003..
1000x - x = 5003,003.. - 5,003...
999x = 4998/:999
x = 4998/999
=========================================
3(57)
x = 3,5757...

100x = 357,5757...
100x - x = 357,5757.. - 3,5757..
99x = 354/:99
x = 354/99
=========================================
0,0(2)
x = 0,022..

100x = 2,222...
100x - 10x = 2,222... - 0,222...
90x = 2/:90
x = 2/90