The difference of the fraction is [tex]\mathbf{ -\dfrac{3}{4}}[/tex] by using equivalent expressions.
What is a number line?
A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.
A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.
Using equivalent expressions to determine the difference between the mixed fractions, we have;
[tex]\mathbf{ = -2\frac{1}{2} - (-1\dfrac{3}{4}) }[/tex]
[tex]\mathbf{ = -2\frac{1}{2} +1\dfrac{3}{4} }[/tex]
[tex]\mathbf{ = -\dfrac{5}{2} +\dfrac{7}{4} }[/tex]
[tex]\mathbf{ = -\dfrac{3}{4}}[/tex]
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