1.

Show that `0. 2353535. . .=0. 2 bar 35`can be expressed in the form `p/q`, where p and q are integers and `q!=0`.

Answer» `x= 0.2 bar35`
multiply by 10
`10x= 2.bar 35` eqn(1)
multiply b 100
`1000x= 235.bar35` eqn(2)
subtracting eqn (2)- (1)
`990x = 233`
`x= 233/990`
answer


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