Question

Without performing actual division state whether 9/15 is terminating or non terminating decimal

Answer 1

your answer is non terminating but repeating decimal

Answer 2

Answer:

$\frac{9}{15}$ is non terminating decimal.

Step-by-step explanation:

For a number to be terminating, it's denominator should be of the form $2^{m} *5^{n}$

$\frac{9}{15} = \frac{9}{3*5}$

   $=\frac{3}{5}$

Since its denominator is not of the form $2^{m} *5^{n}$ ( Since 2 is missing),

We conclude that,$\frac{9}{15}$ is non-terminating recurring.

∴ $\frac{9}{15}$ is non terminating decimal.

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