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# math help please very urgent

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

-2 1/2  and  -5 3/4

Oct 5, 2017

#1
+2337
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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.
Oct 5, 2017