Question

express 0.2424... into rational number

Answer 1

Hey mate!!

$0.\bar2\bar4$

Let x = 0.242424.......(1)

=> 100x = 24. 242424......(2)

On subtracting (1) from (2)

=> 100x - x = 24

=> 99x = 24

=> x = 24/99


Hence , $0.\bar 2 \bar4$ = 24/99.


Thanks for the question!

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