Answer:
-1.75
Step-by-step explanation:
First, in order to add the fractions together, we need them to have the same denominator. We can do this by first converting the -2[tex]\frac{1}{2}[/tex] into an improper fraction, which we can do by multiplying the denominator by the -2 and then adding the result to the numerator.
-2*2=-4
-2=[tex]\frac{-4}{2}[/tex]
[tex]\frac{-4}{2}[/tex]-[tex]\frac{1}{2}=\frac{-5}{2}[/tex]
Now we need to change the denominator to 4 in order to add it to 3/4, which we can do by multiplying the top and bottom by 2:
[tex]\frac{-5}{2}*\frac{2}{2}=\frac{-10}{4}[/tex]
Now we can add them:
[tex]\frac{3}{4}-\frac{10}{4} =\frac{-7}{4}[/tex]
I'm not sure what your number line looks like but -7/4 = -1.75 so it would be between -1.5 and -2 on a number line:
E.g.
-2-----(-1.75)-----(-1.5)-----(-1)-----(-0.5)-----(0)
Hope this helped!
