Express the following in the form , where p and q are integers and q i – InterviewSolution

1.	Express the following in the form , where p and q are integers and q is not equal to 0 뮤 0.9999...
Answer» Let x=1.999...SINCE, one digit is repeating, we MULTIPLY x by 10, we get10x=19.99...So, 10x=18+1.999...=18+xTherefore, 10x−x=18, i.e., 9x=18i.e., x= 918 = 12 =2

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