\(\left(-\dfrac{7}{12}+\dfrac{5}{8}\right)-\left(-\dfrac{3}{8}+\dfrac{5}{12}\right)\)
\(=-\dfrac{7}{12}+\dfrac{5}{8}-\left(-\dfrac{3}{8}\right)-\dfrac{5}{12}\)
\(=\left(-\dfrac{7}{12}-\dfrac{5}{12}\right)+\left(\dfrac{5}{8}+\dfrac{3}{8}\right)\)
\(=-1+1=0\)
\(\left(-\dfrac{7}{12}+\dfrac{5}{8}\right)-\left(-\dfrac{3}{8}+\dfrac{5}{12}\right)\)
\(=-\dfrac{7}{12}+\dfrac{5}{8}+\dfrac{3}{8}-\dfrac{5}{12}\)
\(=\left(-\dfrac{7}{12}-\dfrac{5}{12}\right)+\left(\dfrac{5}{8}+\dfrac{3}{8}\right)\)
\(=-\dfrac{12}{12}+\dfrac{8}{8}\)
\(=-1+1\)
\(=0\)
( -7/12 + 5/8 ) - (- 3/8 + 5/12 )
= -7/12 + 5/8 + 3/8 - 5/12
= ( -7/12 + 5/12 ) + ( 5/8 + 3/8 )
= -1/6 + 1
= 5/6.