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Find the rational numbers shaving the fo...

Find the rational numbers shaving the following decimal expansion: `3. 5overline(2)`

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Given, `3. 5overline(2)`

`3. 5overline(2)=3.50+0.02+0.002+0.0002+0.00002+...`

`a=0.02, r=0.1`

`S_(o o)=(a)/(1-r)`

`3. 5overline(2)=3.50+S_(o o)`

`S_(o o)=(0.02)/(1-0.1)`

`S_(o o)=(0.02)/(0.9)=2/90`

`3. 5overline(2)=35/10+2/90`

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