please find the distance between the two numbers on a number line 



-2 1/2  and  -5 3/4

Nerd123  Oct 5, 2017

1+0 Answers



To find the distance of two numbers on the number line, simply subtract the 2 numbers.


\(-2\frac{1}{2}-(-5\frac{3}{4})\) Subtracting a negative is equivalent to adding a positive.
\(-2\frac{1}{2}+5\frac{3}{4}\) Now convert each fraction to an improper fraction. Doing this is the first step to allow us to calculate the distance.
\(-2\frac{1}{2}=-\frac{2*2+1}{2}=\frac{-5}{2}\) Now, convert the other fraction to an improper fraction.
\(5\frac{3}{4}=\frac{4*5+3}{4}=\frac{23}{4}\) Now, reinsert these improper fraction back into the expression.
\(\frac{-5}{2}+\frac{23}{4}\) In order to add these fractions, we must create a common denominator. Multiply the first fraction by 2/2 to achieve this.
\(\frac{-10}{4}+\frac{23}{4}\) Now, add the fractions together.
\(\frac{13}{4}=3.25\) This is the distance in between the two numbers on the number line.
TheXSquaredFactor  Oct 5, 2017

7 Online Users

New Privacy Policy (May 2018)
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.  Privacy Policy