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Without Actual Division Show that Each of the Following Rational Numbers is a Non-terminating Repeating Decimal. (I) `11/(2^3× 3)` - Mathematics

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Without actual division show that each of the following rational numbers is a non-terminating repeating decimal. 

(i) `11/(2^3× 3)`

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Solution

`11/(2^3× 3)`
We know either 2 or 3 is not a factor of 11, so it is in its simplest form.
Moreover, (23× 3) ≠ (2m × 5n
Hence, the given rational is non – terminating repeating decimal.

Concept: Euclid’s Division Lemma
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