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| Answer» <html><body><p>-step explanation:Correction :-1.21 bar on 21To find :-Express the <a href="https://interviewquestions.tuteehub.com/tag/decimal-435752" style="font-weight:bold;" target="_blank" title="Click to know more about DECIMAL">DECIMAL</a> number into p/q form ?Solution :-Given number = 1.21 bar on 21Let X = 1.21 bar on 21=> X = 1.21212121... -------------------(1)Since the <a href="https://interviewquestions.tuteehub.com/tag/periodicity-1151190" style="font-weight:bold;" target="_blank" title="Click to know more about PERIODICITY">PERIODICITY</a> is <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> then multiply (1) with 100=> 100×X = 1.21212121...×100=> 100X = 121.212121... -------------------(2)On subtracting (1) from (2)(2)-(1)=>100X = 121.212121... X = 1.212121...(-) (-)________________99X = <a href="https://interviewquestions.tuteehub.com/tag/120-270396" style="font-weight:bold;" target="_blank" title="Click to know more about 120">120</a>.000000...________________=> 99X = 120=> X = 120/99=> X = 40/33Therefore, 1.21 bar on 21 = 40/33Answer:-The rational form or p/q form of the given decimal number is 40/33Used formulae:-If the periodicity is 2 then multiply the equation with 100Points to know :-The number of digits in the non terminating and recurring decimal number after decimal point is called the Periodicity and the group of digits is called the Period .EX :-In 2.3636... , Period = 36Periodicity = 2</p></body></html> | |