\(\dfrac{2}{5}+\dfrac{7}{12}+\dfrac{4}{15}\\ =\dfrac{2.12}{5.12}+\dfrac{7.5}{12.5}+\dfrac{4.4}{15.4}\\ =\dfrac{24}{60}+\dfrac{35}{60}+\dfrac{16}{60}\\ =\dfrac{24+35+16}{60}\\ =\dfrac{75}{60}\\ =\dfrac{75:15}{60:15}\\ =\dfrac{5}{4}\)
\(\dfrac{2}{5}+\dfrac{7}{12}+\dfrac{4}{15}\)
\(=\left(\dfrac{6}{15}+\dfrac{4}{15}\right)+\dfrac{7}{12}\)
\(=\dfrac{10}{15}+\dfrac{7}{12}\)
\(=\dfrac{5}{4}\)