Question

Resolva as expressões.

B)3/4 + 0,060606..../0,121212....

C)5 + 1/2 + 0,333....

Answer 1

3/4 + (0,060606..../0,121212....)
0,06 06 06 ......... = 06/99  = 6/99 ****
0,121212...........  = 12/99  = 4/33 ****
6/99 : 4/33 = 6/99 * 33/4 = 198/396 = 1/2 ****
3/4 + 1/2 = 
mmc = 4
( 3 + 2 )/4 = 5/4 ******

c
5 + [ 1 / (2 + 0,333....)]
fazendo por partes
0,333..... = 3/9 = 1/3 ***
2/1 + 1/3  = ( 6 + 1 )/3 = 7/3 *** denominador
reescrevendo
5 + [ 1/ ( 7/3) ]
1/1 : 7/3 = 1/1 * 3/7 = 3/7  total do colchete
5/1 + 3/7 =  ( 35 + 3)/7 = 38/7 ***