Решите примеры: 1) (11/18 - 4/9) * 3/16 2) 11/18 - 4/9 * 3/16 3) 1 3/5 * (3/4 * 1 3/8) 4) 1 3/5 * 3/4 + 3/8 5) 13 4/5 - 3 1/5 * 3 3/4 6) 1 3/25 * 2 1/7 - 2 1/9 * 27/190 7) 4 7/91 3/11 + 1 1/15 45/60 8) (8 - 2 7/9 * 1/9) * 27/44 9) (4/5+4/7) (7 11/12-5 7/9) 10) 4/5 + 4/7 * (7 11/12 - 5 7/9)

Question

Еркин Данрас

Математика

8 февраля, 09:05

Решите примеры: 1) (11/18 - 4/9) * 3/16 2) 11/18 - 4/9 * 3/16 3) 1 3/5 * (3/4 * 1 3/8) 4) 1 3/5 * 3/4 + 3/8 5) 13 4/5 - 3 1/5 * 3 3/4 6) 1 3/25 * 2 1/7 - 2 1/9 * 27/190 7) 4 7/91 3/11 + 1 1/15 45/60 8) (8 - 2 7/9 * 1/9) * 27/44 9) (4/5+4/7) (7 11/12-5 7/9) 10) 4/5 + 4/7 * (7 11/12 - 5 7/9)

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Александра Мельникова · Answer 1

1) (11/18 - 4/9) * 3/16 = (11/18 - 8/18) * 3/16 = 3/18 * 3/16 = 1/6 * 3/16 = 1/32;

2) 11/18 - 4/9 * 3/16 = 11/18 - 1/12 = (11 * 2 - 1 * 3) / 36 = (22 - 3) / 36 = 19/36;

3) 1 3/5 * (3/4 * 1 3/8) = 8/5 * (3/4 * 11/8) = (8/5 * 11/8) * 3/4 = 11/5 * 3/4 = 33/20 = 1 13/20;

4) 1 3/5 * 3/4 + 3/8 = 8/5 * 3/4 + 3/8 = 6/5 + 3/8 = (6 * 8 + 3 * 5) / 40 = (48 + 15) / 40 = 63/40 = 1 23/40;

5) 13 4/5 - 3 1/5 * 3 3/4 = 69/5 - 16/5 * 15/4 = 69/5 - 12 = (69 * 1 - 12 * 5) / 5 = (69 - 60) / 5 = 9/5 = 1 4/5;

6) 1 3/25 * 2 1/7 - 2 1/9 * 27/190 = 28/25 * 15/7 - 19/9 * 27/190 = 4/5 * 3/1 - 1/1 * 3/10 = 12/5 - 3/10 = 24/10 - 3/10 = 21/10 = 2,1;

7) 4 7/9 * 1 3/11 + 1 1/15 * 45/60 = 43/9 * 14/11 + 16/15 * 3/4 = 602/99 + 4/5 = (602 * 5 + 4 * 99) / 495 = (3010 + 396) / 495 = 3406/495 = 6,88;

8) (8 - 2 7/9 * 1/9) * 27/44 = (8 - 25/9 * 1/9) * 27/44 = (8 - 25/81) * 27/44 = 7 56/81 * 27/44 = 623/81 * 27/44 = 623/132 = 4,72;

9) (4/5 + 4/7) (7 11/12 - 5 7/9) = (28/35 + 20/35) (95/12 - 52/9) = 48/35 * (285/36 - 208/36) = 48/35 * 77/36 = 4/5 * 11/3 = 44/15 = 2 14/15;

10) 4/5 + 4/7 * (7 11/12 - 5 7/9) = 4/5 + 4/7 * (95/12 - 52/9) = 4/5 + 4/7 * (285/36 - 208/36) = 4/5 + 4/7 * 77/36 = 4/5 + 11/9 = 36/45 + 44/45 = 80/45 = 16/9 = 1 7/9.