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it is irrational

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Anonymous

5y ago

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Is 0.151515 a rational or an irrational?

As given as ' 0.151515 . it is a terminating decimal and can be converted to a fraction/ratio Hence 0.151515/ 1.000000 = 0151515/1000000 = 151515/1000000 = 30303/200000 is the fraction. However, if you mean 0.151515 recurring to infinity, it is also rational. It should be written as ' 0.151515.... ' Note the three or more dots after the last digit. To convert to a ratio/quotient/fraction Let P = 0.151515.... 100P = 15.151515.... Subtract 99P = 15 Note the recurring decimals subtract to zero. P - 15/99 Reduce by '3' P = 5/33 The ratio/fraction. NB When reading decimal numbers. If it recurs to infinity, AND the decimal digits are in a regular order , as in this case at '151515' , then it is NOT irrational. e.g. 0.123123123.... Is rational or 0.1234512345..... is rational etc., because the decimal digits are in a regular order, and can be converted to a ratio/fraction/quotient.