Respuesta :
Remark
I'm going to assume that it is just the 0.41 that is doing the repeating. If it is not leave me a note.
Solution
The trick is to call x = 3.4141414141 ....
then multiply by 100
100 x = 341.4141414141 ............ Now write the original decimal underneath.
. . . x = 3.414141414141 ............ Subtract
99 x = 338 That's all that's left. The decimal part cancels out.
x = 338 / 99 Fractional answer.
x = 3 39/99
x = 3 13/33 If this isn't one of your answers, leave me a note.
Answer:
[tex]\frac{338}{99}[/tex] is the answer.
Step-by-step explanation:
let x = 3.4141.....
multiplying both sides by 100 [ since it has two repeating decimals],we get
100x 341.4141...
subtracting from the first ,we get
99x = 338
so x = [tex]\frac{338}{99}[/tex]