Question #9defc

1 Answer

see below

Explanation:

13/2132= Finite decimal
11/3113= Repeating decimal
3/535= Finite decimal
15/6156= Finite decimal
17/7177= Repeating decimal
15/8158= Finite decimal

Every fraction is a rational number, so it cannot be an infinite decimal. Infinite decimal represent irrational numbers like sqrt(2)2

To check if a fraction is a finite or periodic (repeating) decimal you have to:

  • simplify the fraction

  • check the prime factorization of its denominator.

If the factorization consists only of 22 and 55 the fraction can be written as a finite decimal, else the fraction can be only written as a repeating (periodic) decimal.