Question

Determine a fração geratriz: A: 0,555555555... B: 0,1212121212... C: 3,44... D: -2,666... E: 0,21414... F: 0,3222... G: 0,15173173... H: 0,17878... I: 0,4212121... Me ajudem por favor

Answer 1

A)    0,555... ------ 5/9

B) 0,121212... ----- 12/99 ------ 4/33

C) 3,444... ------ (34 - 3)/9 ----- 31/9

D) - 2,666 ... ----  - (26  - 2)/9 -----  - 24/9 ------ - 8/3

E) 0,2141414... ----- (214 - 2)/990 ---- 212/990 ------ 106/495

F) 0,3222 ... ------ (32 - 3)/90 ------ 29/90

G) 0,15173173173 ... --- (15173 - 15)/99900 --- 15158/99900 ----

7579/49950

H) 0,1787878 ... ----- (178 - 1)/990 ----- 177/990 ---- 59/330

I) 0,4212121 ... -------  (421 - 4)/990 ------ 417/990 ------ 139/330