\(\dfrac{71}{19}+\dfrac{13}{17}+\dfrac{35}{43}+\dfrac{119}{19}+\dfrac{8}{43}\\ =\left(\dfrac{71}{19}+\dfrac{119}{19}\right)+\left(\dfrac{35}{43}+\dfrac{8}{43}\right)+\dfrac{13}{17}\\ =\dfrac{190}{19}+\dfrac{43}{43}+\dfrac{13}{17}\\ =10+1+\dfrac{13}{17}\\ =11+\dfrac{13}{17}\\ =\dfrac{200}{17}\)
\(\dfrac{71}{19}+\dfrac{13}{17}+\dfrac{35}{43}+\dfrac{119}{19}+\dfrac{8}{43}\)
= \(\left(\dfrac{71}{19}+\dfrac{119}{19}\right)+\left(\dfrac{35}{43}+\dfrac{8}{43}\right)+\dfrac{13}{17}\)
= \(\dfrac{190}{19}+1+\dfrac{13}{17}\)
= 10+1+\(\dfrac{13}{17}\)
= \(\dfrac{200}{17}\)