\(\dfrac{5}{2}\times\dfrac{3}{7}-\dfrac{3}{4}\div\dfrac{7}{3}=\dfrac{5}{2}\times\dfrac{3}{7}-\dfrac{3}{4}\times\dfrac{3}{7}=\dfrac{5}{2}\times\dfrac{3}{7}-\dfrac{3}{7}\times\dfrac{3}{4}\)
\(=\dfrac{3}{7}\times\left(\dfrac{5}{2}-\dfrac{3}{4}\right)=\dfrac{3}{7}\times\dfrac{7}{4}=\dfrac{3}{4}\)
\(\dfrac{5}{4}\div\dfrac{15}{12}-\dfrac{5}{4}\div\dfrac{1}{2}=\dfrac{5}{4}\times\dfrac{12}{15}-\dfrac{5}{4}\times2\)
\(=\dfrac{5}{4}\times\left(\dfrac{12}{15}-2\right)\)
\(=\dfrac{5}{4}\times\dfrac{-6}{5}=\dfrac{-3}{2}\)
\(\dfrac{1}{26}+\dfrac{7}{30}+\dfrac{12}{26}+\dfrac{8}{3}=\left(\dfrac{1}{26}+\dfrac{12}{26}\right)+\left(\dfrac{7}{30}+\dfrac{8}{3}\right)\)
\(=\dfrac{1}{2}+\dfrac{29}{10}=\dfrac{17}{5}\)
` 5/2 xx 3/7 - 3/4 : 7/3 `
`= 5/2 xx 3/7 - 3/4 xx 3/7 `
`= 3/7 xx ( 5/2 - 3/4 ) `
`= 3/7 xx ( 10/4 - 3/4 ) `
`= 3/7 xx 7/4 `
`= 3/4`
` 5/4 : 15/12 -5/4 : 1/2 `
`= 5/4 xx 12/15 - 5/4 xx 2 `
`= 5/4 xx ( 12/15 - 2 ) `
`= 5/4 xx ( 12/15 - 30/15 ) `
`= 5/4 xx ( -6/5)`
`= -3/2`
` 1/26 + 7/30 + 12/26 + 8/3`
`= (1/26 +12/26 ) +(7/30 + 8/3 ) `
`= 1/2+ 29/10`
`= 5/10 + 29/10 `
`= 34/10`
`= 15/7`