Without finding the decimal representation, state whether the following rational numbers are terminating decimal or non-terminating decimals.

Foundation

Mathematics Foundation

HCF and LCM

Properties of Real Number

Rational Numbers

Question

Without finding the decimal representation, state whether the following rational numbers are terminating decimal or non-terminating decimals. $\frac{18}{30}$

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Given that

\frac{30}{18} = \frac{5}{3}

Here, 5 and 3 have no common factors and 3,5 are co prime factor.

Denominator = 3

So, the denominator is not of the form

2 n .5 m

Thus

\frac{30}{18}

has a non terminating decimals.