Answer:
[tex]\large\boxed{-5\dfrac{1}{2}-4\dfrac{1}{4}+6\dfrac{3}{4}==-3}[/tex]
Step-by-step explanation:
[tex]-5\dfrac{1}{2}-4\dfrac{1}{4}+6\dfrac{3}{4}=-5\dfrac{1}{2}+\left(-4\dfrac{1}{4}\right)+6\dfrac{3}{4}\\\\\text{Use the Associative Property:}\ (a+b)+c=a+(b+c)\\\\=-5\dfrac{1}{2}+\left(-4\dfrac{1}{4}+6\dfrac{3}{4}\right)=-5\dfrac{1}{2}+\bigg((6-4)+\left(\dfrac{3}{4}-\dfrac{1}{4}\right)\bigg)\\\\=-5\dfrac{1}{2}+\bigg(2+\dfrac{3-1}{4}\bigg)=-5\dfrac{1}{2}+2\dfrac{2\!\!\!\!\diagup^1}{4\!\!\!\!\diagup_2}=-5\dfrac{1}{2}+2\dfrac{1}{2}=-3[/tex]
