Is 5/8 a rational or irrational number? Prove it!

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given the fraction:

5/8

Determine if the number is rational or irrational.

Explanation:

The given number is considered to be rational since it is expressed as the ratio between two integers, 5 and 8, thus if we solve the fraction or we divide the numerator with the denominator, we simply will have a decimal answer, and it is still considered to be a rational number. A number is irrational if for some instance it is an imaginary number, or a defined constant which are often used in mathematical computations. For us not to get confused of what irrational number looks like, below are examples of irrational numbers.

Examples of Irrational Numbers:

π  (pi)

e (Eulor's number)

ϕ (Golden ratio)

Final answer:
Rational number