To express a fraction in its simplest terms, you need to identify any common divisors between the numerator and the denominator. In this case, both the numerator (9) and the denominator (153) can divide by 9. Do this and you get 1/17. There are no more common divisors. Therefore 9/153 in its simplest terms is 1/17.
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It is: 9/153 = 1/17 simplified
34/153 = 2/9
0.0588
5/9
sqrt(153) = sqrt(9*17) = 3*sqrt(17)