`( 3/7 xx 11/15 + 3/7 xx 4/15): (15xx 6/11-14 xx6/11)`
`=[ 3/7 xx (11/15 +4/15) ] : [6/11 xx (15-14)]`
`= [3/7 xx 15/15 ] : [6/11 xx 1]`
`= 3/7 : 6/11`
`=3/7xx 11/6 = 33 / 42 = 11/14`
(3/7x11/15+3/7x4/15): (15+6/11-14 6/11
=3/7 x (11/15+4/15):1 6/11
=3/7 x 1:17/11
=3/7:17/11
=3/7 x 11/17
=33/119
`( 3/7 xx 11/15 + 3/7 xx 4/15) : ( 15 + 6/11 - 14 + 6/11)`
\(=\left[\dfrac{3}{7}\times\left(\dfrac{11}{15}+\dfrac{4}{15}\right)\right]:\left(15\dfrac{6}{11}-14\dfrac{6}{11}\right)\)
\(=\left[\dfrac{3}{7}\times\dfrac{15}{15}\right]:\left[\left(15-14\right)+\left(\dfrac{6}{11}-\dfrac{6}{11}\right)\right]\)
\(=\left(\dfrac{3}{7}\times1\right):1\)
\(=\dfrac{3}{7}:1\)
\(=\dfrac{3}{7}\)