`e, (-5)/14 : 7/17 - 5/14 : 7/11 - 6/7`
`= (-5)/14 . 17/7 + (-5)/14 . 11/7 - 6/7`
`= (-5)/14 . (17/7 + 11/7) - 6/7`
`= (-5)/14 . 4 - 6/7`
`= (-20)/14 - 12/14`
`= -8/14`
`= -4/7`
`g, ((-5)/3 + (-3)/2):17/13 + (7/2 + (-1)/3):17/13`
`= -5/3 : 17/13 - 3/2 : 17/13 + 7/2 : 17/13 - 1/3 : 17/13`
`= -5/3 . 13/17 - 3/2 . 13/17 + 7/2 . 13/17 - 1/3 . 13/17`
`= [(-5/3 - 1/3) + (-3/2 + 7/2)] . 13/17`
`= [-2 + 2] . 13/17`
`= 0 . 13/17`
`=0`
e) \(\dfrac{-5}{14}:\dfrac{7}{17}-\dfrac{5}{14}:\dfrac{7}{11}-\dfrac{6}{7}\)
\(=\dfrac{-5}{14}.\dfrac{17}{7}-\dfrac{5}{14}.\dfrac{11}{7}-\dfrac{6}{7}\)
\(=\dfrac{-5}{14}.\left(\dfrac{17}{7}+\dfrac{11}{7}\right)-\dfrac{6}{7}\)
\(=\dfrac{-5}{14}.4-\dfrac{6}{7}\)
\(=\dfrac{-10}{7}-\dfrac{6}{7}=-\dfrac{16}{7}\)
