Question

Exprimatii sub forma de fratii ireductibile

2,85%=
4,(2)%=
6,(5)%=
2,1(3)%=
2,10(3)%=​

Answer 1

a) 2,85% = 2,85/100 = 285/10000 = 57/2000

b) 4,(2)% = 4,(2)/100 = [(42-4)/9]/100 = (38/9)/100 = 38/9 × 1/100 = 38/900 = 19/450

c) 6,(5)% = [(65-6)/9]/100 = (59/9)/100 = 59/9 × 1/100 = 59/900

d) 2,1(3)% = [(213-21)/90]/100 = (192/90)/100 = (32/15)/100 = 32/15 × 1/100 = 8/15 × 1/25 = 8/375

e) 2,10(3)% = [(2103-210)/900]/100 = (1893/900)/100 = (631/300)/100 = 631/300 × 1/100 = 631/30000