# Question Video: Identify Whether the Fraction Involving ๐ is Rational or Irrational Mathematics • 8th Grade

Is ๐/3 a rational or an irrational number?

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### Video Transcript

Is ๐ over three a rational or an irrational number?

We begin by recalling the definition of a rational number. Itโs one that can be written in the form ๐ over ๐ where ๐ and ๐ are integers. Theyโre whole numbers. Once we have this definition, we can say that an irrational number is one thatโs not rational. In other words, it canโt be written in this form. Weโre looking to identify whether ๐ divided by three is rational or irrational.

We actually know that ๐ is an example of an irrational number. Itโs one of the ones weโre most familiar with. So, actually, we need to ask ourselves what happens if we divide an irrational number by an integer? Well, itโs still irrational. Thereโs no way to write ๐ divided by three in the form ๐ over ๐ where ๐ and ๐ are both integers. Three is an integer, ๐ is not. So this is irrational. ๐ divided by three is an irrational number.