` 17/24 xx 18/51 xx 3/4 xx 16/9`
`=`\(\dfrac{17\times18\times3\times16}{24\times51\times4\times9}\)
`=`\(\dfrac{17\times2\times9\times3\times4\times4}{3\times2\times4\times17\times3\times4\times9}\)
`=1/3`
_________________________________
`3/4 xx 1/2 + 4/8 xx 5/10`
`=3/4 xx 1/2 + 1/2 xx 1/2`
`=1/2 xx ( 3/4 + 1/2)
`=1/2 xx (3/4 + 2/4)`
`=1/2 xx 5/4`
`=5/8`
a: \(=\dfrac{17}{24}\cdot\dfrac{3}{4}\cdot\dfrac{6}{17}\cdot\dfrac{16}{9}\)
\(=\dfrac{3}{4}\cdot\dfrac{6}{24}\cdot\dfrac{16}{9}=\dfrac{18}{96}\cdot\dfrac{16}{9}=\dfrac{3}{16}\cdot\dfrac{16}{9}=\dfrac{1}{3}\)
b: \(=\dfrac{3}{4}\cdot\dfrac{1}{2}+\dfrac{1}{2}\cdot\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{4}=\dfrac{5}{8}\)
