Given:
The number is 2 by 7.
To find:
Whether 2 by 7 recurring decimal or terminating decimal.
Solution:
If all the prime factors of denominator value of a fraction is either 2 or 5 or both, then the fraction is terminating decimal.
If the prime factors of denominator value of a fraction is other than 2 or 5 , then the fraction is recurring decimal.
The given number is:
[tex]\dfrac{2}{7}[/tex].
The denominator value is 7 and prime factor of 7 is 7, which is different from 2 and 5.
Therefore, the number 2 by 7 is recurring decimal.
