27 x 5/9 is telling you to multiply (27/1) x (5/9). So to multiple fractions, you multiply across the top, then the bottom. This equals 15 when reduced (135/9 after you get is fraction, you divide the top by the bottom)
49 / (7/10) is STAY CHANGE FLIP. The first number STAYs. The division sign CHANGEs to multiplication. The next fraction FLIPs. So really, this is (49/1) x (10/7) which equals 70 when reduced (490/7 is the unreduced fraction).
(3/8) of 32 is the same as (3/8) x 32. So this is just like the first one. I'll let you figure out this last one!