\(3\times\dfrac{7}{6}+4:\dfrac{6}{5}-\dfrac{5}{12}\)
\(=\dfrac{21}{6}+\dfrac{10}{3}-\dfrac{5}{12}\)
\(=\dfrac{21}{6}+\dfrac{20}{6}=\dfrac{41}{6}-\dfrac{5}{12}=\dfrac{82}{12}-\dfrac{5}{12}=\dfrac{77}{12}\)
`3 xx 7/6+4:6/5-5/12`
` = 3 xx 7/6 + 4 xx 5/6 - 5/12`
` = 7/2 + 10/3 - 5/12`
` = 42/12 + 40/12 - 5/12`
` = 77/12`
\(=\dfrac{3x7}{6}+4x\dfrac{5}{6}-\dfrac{5}{12}=\dfrac{3x7}{2x3}+\dfrac{4x5}{6}-\dfrac{5}{12}\)
\(=\dfrac{7}{2}+\dfrac{2x2x5}{2x3}-\dfrac{5}{12}=\dfrac{7}{2}+\dfrac{10}{3}-\dfrac{5}{12}\)
\(=\dfrac{42}{12}+\dfrac{40}{12}-\dfrac{5}{12}=\dfrac{42+40-5}{12}=\dfrac{77}{12}\)