Question

Scrieti sub forma de fractie numarul zecimal periodic
a) 123,(18) b)6,02(78) c) 2, (135) d) 16,2(14) e) 6,25(8) f) 30,02 (78)
dau coroana

Answer 1

a) 123,(18) = (12318-123)/99 = 12195/99 = 1355/11

b) 6,02(78) = (60278-602)/9900 = 59676/9900 = 4973/825

c) 2,(135) = (2135-2)/999 = 2133/999 = 79/37

d) 16,2(14) = (16214-162)/990 = 16052/990 = 8026/495

e) 6,25(8) = (6258-625)/900 = 5633/900

f) 30,02(78) = (300278-3002)/9900 = 297276/9900 = 24773/825