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)

1) 1/6 + 1/18 × 3/4 = 5/24.

1. 1/18 * 3/4 = (1 * 3) / (18 * 4) = 3/72 = 1/24.
2. 1/6 + 1/24 = 4/24 + 1/24 = 5/24.

2) 4 11/48 × 6/7 - 1 4/9 = 2 13/72.

1. 203/48 * 6/7 = (203 * 6) / (48 * 7) = 1218/336 = 3 210/336 = 3 35/56 = 3 5/8;
2. 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.

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