Respuesta :

Hello from MrBillDoesMath!

Answer:

2291/990

Discussion:

Let

x = 2.3141414......         then

10x = 23.141414...               (*)

and

1000x = 2314.141414.....    (**)

Subtract (*) from (**):

1000x - 10x =    (2314 + .141414....) - (23 + .141414....)

990x            =    2314 - 23              as the decimal parts cancel

990x            =   2291

x = 2291/990

Thank you,

MrB

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