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Write 2.3181818... as a mixed number

I need help with this as quickly as possible!

Does anyone know the answer??

Respuesta :

let x= 2.3181818...

then

10x=23.181818...     and

1,000x=2,318.1818...


1,000x-10x=2,318.1818...-23.181818...

       990x = 2,318 - 23
       990x = 2295
           
           x=2295/990

dividing by 5 both numerator and denominator:

               x= 459/198

now, x= 198 + 198+ 63

so [tex]x= 2\frac{63}{198} [/tex]


Answer: [tex]x= 2\frac{63}{198} [/tex]