Вычислите 2/3+5/8,7/12-3/8,11/16-5/8,5/35+3/10,8/15-4/9,4/15+7/12,11/48-5/36,4/5-2/3+4/15,7/8+11/12-5/6
Вычислите 2/3+5/8,7/12-3/8,11/16-5/8,5/35+3/10,8/15-4/9,4/15+7/12,11/48-5/36,4/5-2/3+4/15,7/8+11/12-5/6
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2/3 + 5/8 = 2 * 8/3 * 8 + 5 * 3/8 * 3 = 16/24 + 15/24 = 16 + 15/24 = 31/24 = 7 + 1 * 24/24 = 1 7/24;
7/12 - 3/8 = 7 * 8/12 * 8 - 3 *12/8 * 12 = 56/96 - 36/96 = 56 - 36/96 = 20/96 = 5 * 4/24 * 4 = 5/24;
11/16 - 5/8 = 11 * 8/16 * 8 - 5 * 16/8 * 16 = 88/128 - 80/128 = 88 - 80/128 = 8/128 = 1 * 8/16 * 8 = 1/16;
5/35 + 3/10 = 5 * 10/35 * 10 + 3 * 35/10 * 35 = 50/350 + 105/350 = 155/350 = 31 * 5/70 * 5 = 31/70;
8/15 - 4/9 = 8 * 9/15 * 9 - 4 * 15/9 * 15 = 72/135 - 60/135 = 72 - 60/135 = 12/135 = 4 * 3/45 * 3 = 4/45;
4/15 + 7/12 = 4 * 12/15 * 12 + 7 * 15/12 * 15 = 48/180 + 105/180 = 48 + 105/180 = 153/180 = 17 * 9/20 * 9 = 17/20;
11/48 - 5/36 = 11 * 36/48 * 36 - 5 * 48/36 * 48 = 396/1728 - 240/1728 = 396 - 240/1728 = 156/1728 = 13 * 12/144 * 12 = 13/144;
4/5 - 2/3 + 4/15 = 2/15 + 4/15 = 2/5;
7/8 + 11/12 - 5/6 = 1 19/24 - 5/6 = 23/24.
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