a) \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\)
\(=\dfrac{3}{6}+\dfrac{2}{6}+\dfrac{1}{6}\)
\(=1\)
b) \(\dfrac{4}{7}+\dfrac{3}{4}+\dfrac{2}{7}\)
\(=\left(\dfrac{4}{7}+\dfrac{2}{7}\right)+\dfrac{3}{4}\)
\(=\dfrac{6}{7}+\dfrac{3}{4}\)
\(=\dfrac{24}{28}+\dfrac{21}{28}\)
\(=\dfrac{45}{28}\)
c) \(\dfrac{1}{6}+\dfrac{5}{24}+\dfrac{2}{3}\)
\(=\dfrac{4}{24}+\dfrac{5}{24}+\dfrac{16}{24}\)
\(=\dfrac{25}{24}\)
d) \(\dfrac{1}{2}+\dfrac{5}{16}-\dfrac{1}{4}\)
\(=\dfrac{8}{16}+\dfrac{5}{16}-\dfrac{4}{16}\)
\(=\dfrac{9}{16}\)
e) \(1-\left(\dfrac{1}{5}+\dfrac{1}{2}\right)\)
\(=1-\dfrac{7}{10}\)
\(=\dfrac{3}{10}\)
f) \(\dfrac{2}{3}+\dfrac{1}{2}-\dfrac{5}{6}\)
\(=\dfrac{4}{6}+\dfrac{3}{6}-\dfrac{5}{6}\)
\(=\dfrac{1}{3}\)
g) \(\dfrac{5}{12}+\dfrac{5}{6}-\dfrac{3}{4}\)
\(=\dfrac{5}{12}+\dfrac{10}{12}-\dfrac{9}{12}\)
\(=\dfrac{1}{2}\)
h) \(\dfrac{7}{5}-\dfrac{4}{15}-\dfrac{2}{3}\)
\(=\dfrac{21}{15}-\dfrac{4}{15}-\dfrac{10}{15}\)
\(=\dfrac{7}{15}\)