\(-\dfrac{24}{17}-\left(-\dfrac{7}{17}-\dfrac{1}{16}\right)\)
\(=-\dfrac{24}{17}+\dfrac{7}{17}+\dfrac{1}{16}\)
\(=\dfrac{-17}{17}+\dfrac{1}{16}\)
\(=-1+\dfrac{1}{16}\)
\(=-\dfrac{16}{16}+\dfrac{1}{16}\)
\(=-\dfrac{15}{16}\)
\(\dfrac{-24}{17}-\left(-\dfrac{7}{17}-\dfrac{1}{16}\right)\\ =-\dfrac{24}{17}+\dfrac{7}{17}+\dfrac{1}{16}\\ =-1+\dfrac{1}{16}=-\dfrac{15}{16}\)