Examine whether 17/30 is a terminating decimal. ​

Question

Examine whether \(\frac{17}{30}\) is a terminating decimal.

Answer 1

\(\frac{17}{30}\) = \(\frac{17}{2\times3\times5}\)

We know that 2,3 and 5 are not the factors of 17.

So, \(\frac{17}{30}\) is in its simplest form. 

Also, 30 = 2 × 3 × 5 ≠ (2^m × 5ⁿ)

Hence,\(\frac{17}{30}\)is a non-terminating decimal.