Question

express 12.2 8bar in rational form p/q

Answer 1

Answer:

Let,

x=12.2 8bar

=12.28888...

Since one digit it repeating, we multiply 10 to get

10x=10*12.28888...

=> 10x=122.8888...

=> 10x=110.6+12.28888...

=> 10x=110.6+x

=> 10x-x= 110.6

=> 9x=110.6

=> x=110.6/9

=> x=1106/90

=> x=553/45

.·. The p/q form of 12.2 8bar is 553/45.

Answer 2

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