find wheather 5/6 is terminating or non terminating decimal expansion
Answers
Answer: It has non terminating, repeating decimal expansion.
Explanation: A rational number is only terminating when its denominator can be represented in form of 2^a . 5^b and when (a, b) ∈ W.
But, in 5/6,
6 = 2 × 3 (no presence of 5).
More: An example of terminating rational number is 1/5.
Given : 5/6
To find : wheather 5/6 is terminating or non terminating decimal expansion
Solution:
Any rational number wriitten in simple fraction form
p/q
where p and q are co prime
if q has any prime factor other than 2 and 5 then its non terminating recurring decimal
other wise its terminating decimal
5/6
= 5/( 2 * 3)
Denominator has a factor 3 which is other than 2 and 5
Hence
5/6 has non terminating decimal expansion.
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