(1)[4/15]×75,
=[4/15]×(15×5),
=([4/15]×15)×5,
=4×5,
=20;
(2)[7/18]×[9/14]=[1/4];
(3)[9/14]×21×[2/9],
=[27/2]×[2/9],
=3;
(4)[11/14]×[7/10]×[8/33],
=[11/20]×[8/33],
=[2/15];
(5)[3/4]×[2/5]+[3/5]×[3/4],
=[3/4]×([2/5]+[3/5]),
=[3/4];
(6)[4/5]×[5/8]+[5/12]×[4/5],
=[1/2]+[1/3],
=