Question

8- Encontre a fração geratriz da dizima 4,151515....
a) 415/ 15 =
b) 411/99 =
C) 43/ 999 =
D) 400/100 =​

Answer 1

$\boxed{\begin{array}{l}\sf x=4,151515...\cdot100\\\sf100x=415,151515\\-\underline{\begin{cases}\sf100x=415,\diagdown\!\!\!\!\!\!15~\diagdown\!\!\!\!\!\!15~\diagdown\!\!\!\!\!\!15\\\sf x=4,\diagdown\!\!\!\!\!\!15~\diagdown\!\!\!\!\!\!15~\diagdown\!\!\!\!\!\!15\end{cases}}\\\sf99x=411\\\sf x=\dfrac{411\div3}{99\div3}\\\sf x=\dfrac{137}{33}\end{array}}\blue{\checkmark}$