Выполнить действие 5/6-3/4; 1/3 + 1/5; 3/10+1/2; 3/10+1/2; 1/3-1/7; 2/9+0; 9/20+3/8; 19/75-11/50; 13/50-17/75; 11/14+8/21; 7/15-0. сасибо

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Maitai

Математика

13 февраля, 20:47

Выполнить действие 5/6-3/4; 1/3 + 1/5; 3/10+1/2; 3/10+1/2; 1/3-1/7; 2/9+0; 9/20+3/8; 19/75-11/50; 13/50-17/75; 11/14+8/21; 7/15-0. сасибо

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Фёдор Иванов · Answer 1

5/6 - 3/4 = 5*2/6*2 - 3*3/4*3 = 10/12 - 9/12 = 10 - 9/12 = 1/12;

1/3 + 1/5 = 1*5/3*5 + 1*3/5*3 = 5/15 + 3/15 = 5 + 3/15 = 8/15;

3/10 + 1/2 = 3/10 + 1*5/2*5 = 3/10 + 5/10 = 3 + 5/10 = 8/10;

1/3 - 1/7 = 1*7/3*7 - 1*3/7*3 = 7/21 - 3/21 = 7 - 3/21 = 4/21;

2/9 + 0 = 2/9;

9/20 + 3/8 = 9*2/20*2 + 3*5/8*5 = 18/40 + 15/40 = 18+15/40 = 33/40;

19/75 + 11/50 = 19*2/75*2 + 11*3/50*3 = 38/150 + 33/150 = 38 + 33/150 = 71/150;

13/50 + 17/75 = 13*3/50*3 + 17*2/75*2 = 39/150 + 34/150 = 39 + 34/150 = 73/150;

11/14 + 8/21 = 11*3/14*3 + 8*2/21*2 = 33/42 + 16/42 = 33 + 16/42 = 49/42 = 1 7/42 = 1 1/6;

7/15 - 0 = 7/15;

91 1/6 + 3 5/18 = 91 1*2/6*2 + 3 5/18 = 91 + 3 2+5/18 = 94 7/18;