Question

find wheather 5/6 is terminating or non terminating decimal expansion. with explanation ​

Answer 1

$5 \div 6 = 0.8333 \\ we \: see \: 3 \: is \: repeting \:and \\ not \: terminating. \\ therefore \: 5 \div 6 \: is \: \\ non \: terminating \: decimal \: expansion.$

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Answer 2

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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