Question

Answer 1

1: \(=\dfrac{3}{5}+\dfrac{5}{3}+\dfrac{1}{2}-\dfrac{1}{4}=\dfrac{9+25}{15}+\dfrac{1}{4}\)

\(=\dfrac{34}{25}+\dfrac{1}{4}=\dfrac{136+25}{100}=\dfrac{161}{100}\)

2: \(=1+\dfrac{3}{5}-\dfrac{5}{2}-\dfrac{1}{8}\)

\(=\dfrac{8}{5}-\dfrac{21}{8}=\dfrac{64-105}{40}=\dfrac{-41}{40}\)

3: \(=\dfrac{5}{4}-\dfrac{1}{3}-\dfrac{5}{6}-\dfrac{9}{2}\)

\(=\dfrac{15}{12}-\dfrac{4}{12}-\dfrac{10}{12}-\dfrac{54}{12}=\dfrac{-53}{12}\)

4: \(=\dfrac{5}{8}-\dfrac{1}{12}-\dfrac{13}{4}+\dfrac{5}{6}\)

\(=\dfrac{15}{24}-\dfrac{2}{24}-\dfrac{78}{24}+\dfrac{20}{24}=\dfrac{-45}{24}=\dfrac{-15}{8}\)

5: \(=\dfrac{-3}{7}+\dfrac{5}{12}+\dfrac{13}{4}+\dfrac{5}{6}\)

\(=\dfrac{-3}{7}+\dfrac{5}{12}+\dfrac{39}{12}+\dfrac{10}{12}\)
\(=\dfrac{-3}{7}+\dfrac{54}{12}=\dfrac{-3}{7}+\dfrac{9}{2}=\dfrac{-6+63}{14}=\dfrac{57}{14}\)

6: \(=\dfrac{8}{5}-\dfrac{1}{4}-\dfrac{2}{3}-\dfrac{1}{2}\)

\(=\dfrac{96}{60}-\dfrac{15}{60}-\dfrac{40}{60}-\dfrac{30}{60}=\dfrac{11}{60}\)