Why is 0.111111111... a rational number?

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Ankit Tanna · Answer 1 · 2024-08-10T21:11:05+0000

Explanation:

It is a rational number, because it can be written as a fraction:

Mark this number as x:

0,(1) = x

Multiply both sides by 10:

1,(1) = 10x

Subtract the first equation from the second:

10x - x = 1

9x = 1 /: 9

x = (1)/(9)