3/4:5:6+2 цэлых3/4*8 = (3 цэлых1/2:4 цэлых2/3+4 цэлых2/3:3 цэлых1/2) * 4 цэлых4/5=

а) 3/4 / 5 / 6 + 2 3/4 * 8 = 22 1/40.

Преобразуем:

2 3/4 = (2 * 4 + 3) / 4 = 11/4.

22 = 21 40/40 = (21 * 40 + 40) / 40 = 880/40.

Вычислим:

1. 3/4 / 5/1 = (3 * 1) / (4 * 5) = 3/20.

2. 3/20 / 6/1 = (3 * 1) / (20 * 6) = 3/120 = 1/40.

3. 11/4 * 8 = 88/4 = 22.

4. 1/40 + 22 = 1/40 + 880/40 = 881/40 = 22 1/40.

б) (3 1/2 / 4 2/3 + 4 2/3 / 3 1/2) * 4 4/5 = 10.

Преобразуем:

3 1/2 = (3 * 2 + 1) / 2 = 7/2.

4 2/3 = (4 * 3 + 2) / 3 = 14/3.

4 4/5 = (4 * 5 + 4) / 5 = 24/5.

Вычислим:

1. 7/2 / 14/3 = (7 * 3) / (2 * 14) = 21/28 сократим на 7 = 3/4.

2. 14/3 / 7/2 = (14 * 2) / (3 * 7) = 28/21 на 7 = 4/3.

3. 3/4 + 4/3 = (9 + 16) / 12 = 25/12.

4. 25/12 * 24/5 = (25 * 24) / (12 * 5) = 600/60 = 10.