найди значения выражения а) (1-1/2)/(1/2-1/3). б) (4/9+1/3)/2/3. в) (1/3+14)/(2-5/6). г) (1/2+1/4-2/5)/4/5. д) (1 1/2-3/8)/7.

Найдем значения выражений: 

а) (1 - 1/2)/(1/2 - 1/3) = 1/2/(3/6 - 2/6) = 1/2/(1/6) = 1/2 * 6 = 6/2 = 3; 

б) (4/9 + 1/3)/2/3 = (4/9 + 3/9)/(2/3) = (7/9)/(2/3) = 7/9 * 3/2 = 7/3 * 1/2 = 7/6 = 1 1/6; 

в) (1/3 + 1/4)/(2 - 5/6) = (4/12 + 3/12)/(12/6 - 5/6) = (7/12)/(7/6) = 7/12 * 6/7 = 6/12 = 1/2; 

г) (1/2 + 1/4 - 2/5)/(4/5)  = (10/20 + 5/20 - 8/20)/(4/5) = (15/20 - 8/20)/(4/5) = 7/20/(4/5) = 7/20 * 5/4 = 7/4 * 1/4 = 7/16; 

д) (1 1/2 - 3/8)/7 = (3/2 - 3/8)/7 = (12/8 - 3/8)/7 = 9/8/7 = 9/8 * 1/7 = 9/56; 

е) (1 - 1/4 + 3/8)/(3/4) = (24/24 - 6/24 + 9/24)/(3/4) = (24/24 + 3/24)/(3/4) = 27/24 * 4/3 = 27/3 * 4/24 = 9 * 1/6 = 3/2.