Выполните действия: 7 1/8 : 4 1/4 * 8; 11 1/3 : 4/21 : 4 1/4; 1 7/9 * 2 2/5 : 1 3/5; 7/8 * 8/9 : 1 1/9

Question

Диана Новикова

Математика

17 июня, 05:43

Выполните действия: 7 1/8 : 4 1/4 * 8; 11 1/3 : 4/21 : 4 1/4; 1 7/9 * 2 2/5 : 1 3/5; 7/8 * 8/9 : 1 1/9

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Никита Козлов · Answer 1

а). 7 1/8 / 4 1/4 * 8 = 26 14/17;

1. 7 1/8 / 4 1/4 = 57/8 / 17/4 = 57/8 * 4/17 = 57 * 4/8 * 17 = 57 * 1/2 * 17 = 57/17 = 3 6/17;

2. 3 6/17 * 8 = 57/17 * 8 = 57 * 8/17 = 456/17 = 26 14/17;

б) 11 1/3 / 4/21 / 4 1/4 = 14;

1. 11 1/3 / 4/21 = 34/3 * 21/4 = 34 * 21/3 * 4 = 17 * 7/1 * 2 = 119/2 = 59 1/2;

2. 59 1/2 / 4 1/4 = 119/2 / 17/4 = 119/2 * 4/17 = 119 * 4/2 * 17 = 7 * 2/1 * 1 = 14/1 = 14;

в) 1 7/9 * 2 2/5 / 1 3/5 = 2 2/3;

1. 1 7/9 * 2 2/5 = 16/9 * 12/5 = 16 * 12/9 * 5 = 16 * 4/3 * 5 = 64/15 = 4 4/15;

2. 4 4/15 / 1 3/5 = 64/15 / 8/5 = 64/15 * 5/8 = 64 * 5/15 * 8 = 8 * 1/3 * 1 = 8/3 = 2 2/3;

г) 7/8 * 8/9 / 1 1/9 = 7/10 = 0,7;

1. 7/8 * 8/9 = 7 * 8/8 * 9 = 7 * 1/1 * 9 = 7/9;

2. 7/9 / 1 1/9 = 7/9 / 10/9 = 7/9 * 9/10 = 7 * 9/9 * 10 = 7 * 1/1 * 10 = 7/10 = 0,7;