+0  
 
0
42
1
avatar

I tried it online but everyone says it is rational when it keeps repeating itself. Please help me out.

 
Guest Sep 15, 2017
social bar

Best Answer 

 #1
avatar+1094 
+1

\(\frac{3}{7}\) is a rational number. 

 

In order to be classified as a rational number, a number must meet the following condition:

 

A number is rational if and only if you can represent that number with \(\frac{a}{b}\) where \(a,b\in\mathbb{Z}\). 3/7 meets this rule; a=3 and b=7.

 

Another way to think about it is the following:

 

A number is rational if and only if its decimal expansion either terminates OR repeats indefinitely. \(\frac{3}{7}=0.\overline{428571}\), which repeats indefinitely. This is a rational number. 

 
TheXSquaredFactor  Sep 15, 2017
Sort: 

1+0 Answers

 #1
avatar+1094 
+1
Best Answer

\(\frac{3}{7}\) is a rational number. 

 

In order to be classified as a rational number, a number must meet the following condition:

 

A number is rational if and only if you can represent that number with \(\frac{a}{b}\) where \(a,b\in\mathbb{Z}\). 3/7 meets this rule; a=3 and b=7.

 

Another way to think about it is the following:

 

A number is rational if and only if its decimal expansion either terminates OR repeats indefinitely. \(\frac{3}{7}=0.\overline{428571}\), which repeats indefinitely. This is a rational number. 

 
TheXSquaredFactor  Sep 15, 2017

36 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details