1) 5 3/4 * 8 - 2 1/3 * 1 3/14 - 1 37/48 * 2 2/15=23/4 * 8/1 - 7/3 * 17/14 - 85/48 * 32/15=  

23/1 * 2/1 - 1/3 * 17/2 - 17/3 * 2/3=46 - 17/6 - 34/9=(46*18-17*3-34*2)/18=  

(828-51-68)/18=709/18=39 7/18;  

2) 1 3/22 * 2 14/15 - (1 5/8 + 2 1/8 * 11/17) * 3/7=25/22 * 44/15 - (1 5/8 + 17/8 * 11/17)*  

3/7=5/1 * 2/3 - (1 5/8 + 1/8 * 11/1)*3/7=3 1/3-(1 5/8+1 3/8)=3 1/3 - 3=1/3;  

3) 6 2/5 * 1 9/16 - (2 1/4)^2=32/5 * 25/16-81/16=10-5 1/16=4 15/16;  

4) (2 7/10 - 1 8/15)^2 * 9/14=(1+7/10-8/15)^2 * 9/14=(1+(7*3-8*2)/30)^2 * 9/14=  

(1+(21-16)/30)^2 * 9/14=49/36 * 9/14=7/4 * 1/2=7/8.