Answer:
[tex]\large\boxed{-4\dfrac{7}{8}=-4.875}[/tex]
Step-by-step explanation:
To add two fractions, they must have the same denominator.
LCD = 8
[tex]1\dfrac{1}{4}=1\dfrac{1\cdot2}{4\cdot2}=1\dfrac{2}{8}[/tex]
[tex]-6\dfrac{1}{8}+1\dfrac{1}{4}=-6\dfrac{1}{8}+1\dfrac{2}{8}=-\left(6\dfrac{1}{8}-1\dfrac{2}{8}\right)=(*)\\\\\text{We know}\ 1=\dfrac{8}{8},\ 6=5+1=5+\dfrac{8}{8}=5\dfrac{8}{8}.\\\\\text{Therefore}\ 6\dfrac{1}{8}=5\dfrac{8+1}{8}=5\dfrac{9}{8}\\\\(*)=-\left(5\dfrac{9}{8}-1\dfrac{2}{8}\right)=-\bigg((5-1)+\dfrac{9-2}{8}\bigg)=-\bigg(4+\dfrac{7}{8}\bigg)=-4\dfrac{7}{8}[/tex]
You can convert the fractions to the decimals.
[tex]6\dfrac{1}{8}=8.125\\\\1\dfrac{1}{4}=1.25\\\\-6\dfrac{1}{8}+1\dfrac{1}{4}=-6.125+1.25=1.25-6.125=-4.875[/tex]
