=3/5 * ( 17/2 + 1/2 )

=3/5 * 9

=27/5

3/4 . 4/5 + 4/5 . 1/4 
= (3/4 + 1/4) . 4/5 
= 1 . 4/5 
= 4/5 

= 4/5 x ( 3/4 + 1/4 )

= 4/5 x 1

=4/5

3/4 x 4/5 + 45 x 1/4 

\(=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)\times\dfrac{4}{5}=1\times\dfrac{4}{5}=\dfrac{4}{5}\)

\(\dfrac{2}{3}:\dfrac{4}{3}:\dfrac{5}{4}:\dfrac{1}{5}\)

=\(\dfrac{2}{3}\cdot\dfrac{3}{4}:\dfrac{5}{4}\cdot\dfrac{5}{1}\)

=\(\dfrac{1}{2}\cdot\dfrac{25}{4}\)

=\(\dfrac{25}{8}\)

\(5\dfrac{3}{4}:3+2\dfrac{1}{4}\times\dfrac{1}{3}-\dfrac{1}{8}=\left(5\dfrac{3}{4}+2\dfrac{1}{4}\right)\times\dfrac{1}{3}-\dfrac{1}{8}\\ =8\times\dfrac{1}{3}-\dfrac{1}{8}=\dfrac{8}{3}-\dfrac{1}{8}=\dfrac{61}{24}\\ ----\\ \dfrac{3}{5}:\dfrac{5}{6}:\dfrac{6}{7}:\dfrac{7}{8}+\dfrac{2}{5}+\dfrac{23}{35}\\ =\dfrac{3}{5}\times\dfrac{6}{5}\times\dfrac{7}{6}\times\dfrac{8}{7}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{18}{25}\times\dfrac{4}{3}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{353}{175}\)

\(\dfrac{1}{4}+\dfrac{2}{5}+\dfrac{3}{4}+\dfrac{3}{5}\)
\(=\left(\dfrac{1}{4}+\dfrac{3}{4}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)
\(=1+1\)
\(=2\)

`1/4+2/5+3/4+3/5`

`=(1/4+3/4)+(2/5+3/5)`

`=4/4+5/5`

`=1+1`

`=2`

= ( 1/4 + 3/4 ) + ( 2/5 + 3/5 ) 

= 1 + 1

= 2

1/3 x ( 4/5+1/5)

=1/3 x 1

=1/3

= 1/3 x ( 4/ 5 + 1/5)

= 1/3 x 1

= 1/3

\(\frac{3}{4}+\frac{2}{5}+\frac{1}{4}+\frac{3}{5}\)

\(\Leftrightarrow\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{2}{5}+\frac{3}{5}\right)\)

\(=1+1\)

\(=2\)

\(\frac{3}{4}+\frac{2}{5}+\frac{1}{4}+\frac{3}{5}.\)

\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{2}{5}+\frac{3}{5}\right)\)

\(=\frac{4}{4}+\frac{5}{5}\)

\(=1+1\)

\(=2\)

\(\frac{3}{4}+\frac{2}{5}+\frac{1}{4}+\frac{3}{5}\)

\(=\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{2}{5}+\frac{3}{5}\right)\)

\(=1+1\)

\(=2\)

= (2/5 x 5/6) x (3/4 : 3/4)
= 2/6 x 1
= 2/6
= 1/3

thank you Tú Cường Trần