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Show that 1. 272727=1. 27 can be expre...

Show that `1. 272727=1. 27 ` can be expressed in the form `p/q ,` where `p` and `q` are integers and `q!=0.`

Text Solution

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Let `x=1.27272727........`
Multiplying it by `100` we get
`100x=127.272727......`
`127.272727.....=126+1.272727.....`
`100x=126+x`
`99x=126`
`x=126/99`
`x=14/11`
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