Question

Write 2.3181818... as a mixed number

I need help with this as quickly as possible!

Does anyone know the answer??

Answer 1

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
`x= 2(63)/(198)`


Answer:
`x= 2(63)/(198)`