Найдите значение выражения (8:2 10\12-1 13\15×1 6\49):(3 1\12-1 25\36)решить(8:2 10\12-1 13\15×1 6\49):(3 1\12-1 25\36)

( 8 : 2 10\\12 - 1 13\\15 * 1 6\\49 ) : ( 3 1\\12 - 1 25\\36 ) = 312/595.

1) 8 : 2 10/12 = 8 : 34/12 = 8 * 12/34 = (8 * 12) / 34 = 96/34 = 48/17 = 2 14/17; 

2) 1 13/15 * 1 6/49 = 28/15 * 55/49 = (28 * 55) / (15 * 49) = 1540/735 = 308/147 = 2 14/147 = 2 2/21; 

3) 2 14/17 - 2 2/21 = 48/17 - 44/21 = (48 * 21) / (17 * 21) - (44 * 17) / (21 * 17) = 1008/357 - 748/357 = 260/357; 

4) 3 1/12 - 1 25/36 = 37/12 - 61/36 = (37 * 3) / (12 * 3) - 61/36 = 111/36 - 61/36 = 50/36 = 25/18 = 1 7/18; 

5) 260/357 : 1 7/18 = 260/357 : 25/18 = 260/357 * 18/25 = (260 * 18) / (357 * 25) = 4680/8925 = 312/595.