Сократите дроби, используя признаки делимости: 1) 14/21, 18/24, 24/15, 25/35, 81/108 3) 30/42, 33/39, 45/51, 36/60, 50/100 2) 12/51, 4/26, 10/90, 35/45, 15/93 4) 15/95, 33/48, 63/108, 34/82, 105/200

Привет, ребята! Сейчас сократим дроби, используя признаки делимости: 1) **14/21, 18/24, 24/15, 25/35, 81/108** - 14/21 = (2*7)/(3*7) = 2/3 - 18/24 = (3*6)/(4*6) = 3/4 - 24/15 = (8*3)/(5*3) = 8/5 - 25/35 = (5*5)/(7*5) = 5/7 - 81/108 = (9*9)/(12*9) = 9/12 = 3/4 3) **30/42, 33/39, 45/51, 36/60, 50/100** - 30/42 = (5*6)/(7*6) = 5/7 - 33/39 = (11*3)/(13*3) = 11/13 - 45/51 = (15*3)/(17*3) = 15/17 - 36/60 = (6*6)/(10*6) = 6/10 = 3/5 - 50/100 = 1/2 2) **12/51, 4/26, 10/90, 35/45, 15/93** - 12/51 = (4*3)/(17*3) = 4/17 - 4/26 = (2*2)/(13*2) = 2/13 - 10/90 = (1*10)/(9*10) = 1/9 - 35/45 = (7*5)/(9*5) = 7/9 - 15/93 = (5*3)/(31*3) = 5/31 4) **15/95, 33/48, 63/108, 34/82, 105/200** - 15/95 = (3*5)/(19*5) = 3/19 - 33/48 = (11*3)/(16*3) = 11/16 - 63/108 = (7*9)/(12*9) = 7/12 - 34/82 = (17*2)/(41*2) = 17/41 - 105/200 = (21*5)/(40*5) = 21/40