\(\text{a)}\dfrac{3}{4}+\dfrac{2}{5}\)
\(=\dfrac{15}{20}+\dfrac{8}{20}=\dfrac{23}{20}\)
\(\text{b)}\dfrac{5}{17}+\dfrac{2}{3}-\dfrac{5}{3}+\dfrac{7}{9}+\dfrac{12}{17}\)
\(=\dfrac{5}{17}+\dfrac{2}{3}+\left(\dfrac{-5}{3}\right)+\dfrac{7}{9}+\dfrac{12}{17}\)
\(=\left(\dfrac{5}{17}+\dfrac{12}{17}\right)+\left[\dfrac{2}{3}+\left(\dfrac{-5}{3}\right)\right]+\dfrac{7}{9}\)
\(=1+\left(-1\right)+\dfrac{7}{9}\)
\(=0+\dfrac{7}{9}=\dfrac{7}{9}\)
\(a,\dfrac{3}{4}+\dfrac{2}{5}\)
\(=\dfrac{15}{20}+\dfrac{8}{20}\)
\(=\dfrac{23}{20}\)
b,