А)3/2 : 2=? б)1 4/5 : 4=? в)171 1/4 : 1=?

Вычислим значения выражения:

А) 3/2 : 2 = (3/2)/2 = 3/2 * 1/2 = 3/(2 * 2) = 3/4; 

б) 1 4/5 : 4 = (1 * 5 + 4)/5 : 4 = (5 + 4)/5 : 4 = 9/5 : 4 = 9/5 * 1/4 = 9/(5 * 4) = 9/20; 

в) 171 1/4 : 1  = ((171 * 4 + 1)/4)/1 = ((684 + 1)/4)/1 = (685/4)/1 = 685/4 * 1/1  =  685/4 = 171.25;

г) 2/3 : 3 =  2/3 * 1/3 = 2/(3 * 3) = 2/9; 

д) -17 1/2 : 7 = -(17 * 2 + 1)/2 : 7 = -(34 + 1)/2 : 7 = -35/2/7 = -35/2 * 1/7 = -35/(2 * 4) = -35/14; 

е) 1 3/7 : (-2) = ((1 * 7 + 3)/7)/(-2) = (7 + 3)/7/2 = 10/7/2 = 10/7 * 1/2 = 10/(7 * 2) = (5 * 2)/(7 * 2) = 5/7.