Question

Considere a expressao 0,9999...+1/5+1/3/3/5-1/15 efetuando as operacoes obtemos ?

Answer 1

0,9999...
x=0,9999...
10x=9,999...
10x-x=9,999...-0,999...
9x=9
x=9/9
x=1

1+1/5+1/3/3/5-1/15=
1+1/5+1/3.5/3-1/15=
1+1/5+5/9-1/15=

O MMC de 1,5,9 e 15 é 45. divide pelo debaixo multiplica pelo de cima.

45/45+9/45+25/45-3/45=
54/45+25/45-3/45=
79/45-3/45=
76/45