Write 2.3181818... as a mixed number

1 answer:

7 0

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: $x= 2\frac{63}{198}$

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