Express the rational number 1.151515.. as a quotient of two integers (fraction)

1.151515..=1+0.151515..

1/0.151515=6.6000066~6.6

6.6=6 3/5=33/5

1/6.6=5/33

If you calculate 1/(5/33), you will find it exactly equals to 0.151515..

So 1.151515..=1+0.151515..=1+5/33=38/33

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