Question

Show that 0.3656565.....=0.365(bar on 65) can be expressed in the form of p/q where p and q are integer and q is not equal to 0.

Answer 1

Let x=0.365(bar on 65)

Then x= 0.36565..... ----------(1)

=> 10x = 3.6565....... ----------(2)

=>1000x=365.6565..... ----------(3)

On subtracting (2) from (3), we get------

=>990x=362

=>x=362/990

=181/495

Answer 2

Answer:

let x=0.365 (65 in the bar)

=0.3656565

1000x= 365.656565-10x=3.656565

=1000x-10x=990x

365.656565-3.656565=362.000000

990x=362

x=362/990(cansellasion)

x=181/495

Step-by-step explanation:

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