Question

Write 2.3181818... as a mixed number

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 $x= 2\frac{63}{198}$


Answer: $x= 2\frac{63}{198}$