Question

Приведи дроби с натуральными числителями и знаменателями к наименьшему общему знаменателю:
1) 14/75 и 8/15;
2) 9/16 и 4/9;
3) 5/12 и 3/8;
4) 7/32 и 13/24;
5) 8/105 и 7/135;
6) 13/25, 11/15 и 3/20;
7) 5/2a и 8/3a;
8) b/8cd и n/10d;

Answer 1

1) 75:
   14/75 = 14/75
   8/15 = 8*5/15*5 = 40/75
2) 144:
    9/16 = 9*9/16*9 = 81/144
    4/9 = 4*16/9*16 = 64/144
3) 48:
    5/12 = 5*4/12*4 = 20/48
    3/8 = 3*6/8*6 = 18/48
4) 96:
   7/32 = 7*3/32*3 = 21/96
   13/24 = 13*4/24*4 = 52/96
5) 14.175:
    8/105 = 8*135/105*135 = 1.080/14.175
    7/135 = 7*105/135*105 = 735/14.175
6) 300:
   13/25 = 13*12/25*12 = 156/300
   11/15 = 11*20/15*20 = 220/300
   3/20 = 3*15/20*15 = 45/300
7) 6:
    5/2а = 5*3/2*3а = 15/6а
    8/3а = 8*2/3*2а = 16/6а
8) 8*10*c*d = 80cd:
    b/8cd = b*10/8cd*10 = 10b/80cd
    n/10d = n*8c/10d*8c = 8cn/80cd