Вычислите: 1) 1/6+1/183/4; 2) 4 11/486/7-1 4/9; 3) (2/3+5/8-11/12) * 5 1/3; 4) 15 4/7-4 3/8 * (1 3/7-34/35)

Question

Алёна Мешкова

Математика

17 июня, 19:19

Вычислите: 1) 1/6+1/183/4; 2) 4 11/486/7-1 4/9; 3) (2/3+5/8-11/12) * 5 1/3; 4) 15 4/7-4 3/8 * (1 3/7-34/35)

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Алиса Новикова · Answer 1

1) 1/6 + 1/18 * 3/4 = 5/24.

1/18 * 3/4 = (1 * 3) / (18 * 4) = 3/72 = 1/24. 1/6 + 1/24 = 4/24 + 1/24 = 5/24.

2) 4 11/48 * 6/7 - 1 4/9 = 2 13/72.

203/48 * 6/7 = (203 * 6) / (48 * 7) = 1218/336 = 3 210/336 = 3 35/56 = 3 5/8; 3 5/8 - 1 4/9 = 29/8 - 13/9 = (29 * 9) / (8 * 9) - (13 * 8) / (9 * 8) = 261/72 - 104/72 = 157/72 = 2 13/72.

3) (2/3 + 5/8 - 11/12) * 5 1/3 = 3 1/5.

2/3 + 5/8 - 11/12 = (2 * 8) / (8 * 3) + (5 * 3) / (8 * 3) - (11 * 2) / (12 * 2) = 16/24 + 15/24 - 22/24 = 9/24 = 3/8; 3/5 * 5 1/3 = 3/5 * 16/3 = 48/15 = 16/5 = 3 1/5.

4) 15 4/7 - 4 3/8 * (1 3/7 - 34/35) = 13 4/7.

1 3/7 - 34/35 = 10/7 - 34/35 = 50/35 - 34/35 = 16/35; 4 3/8 * 16/35 = 35/8 * 16/35 = (35 * 16) / (8 * 35) = 560/280 = 2; 15 4/7 - 2 = 13 4/7.

Вычислите: 1) 1/6+1/18*3/4; 2) 4 11/48*6/7-1 4/9; 3) (2/3+5/8-11/12) * 5 1/3; 4) 15 4/7-4 3/8 * (1 3/7-34/35)

Вычислите: 1) 1/6+1/183/4; 2) 4 11/486/7-1 4/9; 3) (2/3+5/8-11/12) * 5 1/3; 4) 15 4/7-4 3/8 * (1 3/7-34/35)