Question #9defc

1 Answer
Daniel L. ยท Wessly Kennidy
May 6, 2016

see below

Explanation:

13/2= Finite decimal
11/3= Repeating decimal
3/5= Finite decimal
15/6= Finite decimal
17/7= Repeating decimal
15/8= Finite decimal

Every fraction is a rational number, so it cannot be an infinite decimal. Infinite decimal represent irrational numbers like sqrt(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 2 and 5 the fraction can be written as a finite decimal, else the fraction can be only written as a repeating (periodic) decimal.

Related questions
See all questions in Understanding Fractions
Impact of this question
2400 views around the world
You can reuse this answer
Creative Commons License