`a, 16/3 - (9/5 - 5/3) + (-1)/5`
`= 16/3 - 9/5 + 5/3 - 1/5`
`= (16/3+5/3)+(-9/5-1/5)`
`= 21/3 - 10/5`
`= 7 -2`
`=5`
`b, 3 5/7 + (8/5- 8/3)- (13/5+ 1/3)`
`= 26/7 + 8/5 - 8/3 - 13/5 - 1/3`
`= 26/7 + (8/5 - 13/5) + (-8/3 - 1/3)`
`= 26/7 - 5/5 - 9/3`
`= 26/7 - 1 - 3`
`= 26/7 - 4`
`= -2/7`
a) \(\dfrac{16}{3}-\left(\dfrac{9}{5}-\dfrac{5}{3}\right)+\dfrac{-1}{5}=\dfrac{16}{3}-\dfrac{9}{5}+\dfrac{5}{3}+\dfrac{-1}{5}=\dfrac{21}{3}-\dfrac{10}{5}=7-2=5\)
b) \(3\dfrac{5}{7}+\left(\dfrac{8}{5}-\dfrac{8}{3}\right)-\left(\dfrac{13}{5}+\dfrac{1}{3}\right)=3\dfrac{5}{7}+\dfrac{8}{5}-\dfrac{8}{3}-\dfrac{13}{5}-\dfrac{1}{3}=3\dfrac{5}{7}-\dfrac{5}{5}-\dfrac{9}{3}=3\dfrac{5}{7}-4=3\dfrac{5}{7}-3\dfrac{7}{7}=-\dfrac{2}{7}\)
a) \(\dfrac{16}{3}-\left(\dfrac{9}{5}-\dfrac{5}{3}\right)+\dfrac{-1}{5}\)
\(=\dfrac{16}{3}-\dfrac{9}{5}+\dfrac{5}{3}-\dfrac{1}{5}\)
\(=\left(\dfrac{16}{3}+\dfrac{5}{3}\right)-\left(\dfrac{9}{5}-\dfrac{1}{5}\right)\)
\(=7-2\)
\(=5\)
b) \(3\dfrac{5}{7}+\left(\dfrac{8}{5}-\dfrac{8}{3}\right)-\left(\dfrac{13}{5}+\dfrac{1}{3}\right)\)
\(=\dfrac{26}{7}+\dfrac{8}{5}-\dfrac{8}{3}-\dfrac{13}{5}-\dfrac{1}{3}\)
\(=\dfrac{26}{7}+\left(\dfrac{8}{5}-\dfrac{13}{5}\right)-\left(\dfrac{8}{3}+\dfrac{1}{3}\right)\)
\(=\dfrac{26}{7}-1-3\)
\(=-\dfrac{2}{7}\)