Answer:
[tex]\large\boxed{-5\dfrac{1}{2}+7\dfrac{3}{4}-(-4)=6\dfrac{1}{4}=6.25}[/tex]
Step-by-step explanation:
[tex]-5\dfrac{1}{2}+7\dfrac{3}{4}-(-4)=-5\dfrac{1}{2}+7\dfrac{3}{4}+4\\\\\bold{METHOD\ 1}\\\\\text{Convert to the decimal:}\\\\-5\dfrac{1}{2}=-5.5\\\\7\dfrac{3}{4}=7.75\\\\-5.5+7.75+4=6.25\\\\\bold{METHOD\ 2}\\\\\text{Find the common denominator.}\\\\LCD=4\\\\-5\dfrac{1}{2}=-5\dfrac{1\cdot2}{2\cdot2}=-5\dfrac{2}{4}\\\\-5\dfrac{1}{2}+7\dfrac{3}{4}+4=-5\dfrac{2}{4}+7\dfrac{3}{4}+4=(-5+7)+\left(-\dfrac{2}{4}+\dfrac{3}{4}\right)+4\\\\=2+\dfrac{1}{4}+4=6\dfrac{1}{4}[/tex]
