Verified answer

Ответ:

Пошаговое объяснение: на фото ↓↓↓

Ответ:

3) 7/15.

4) 13/25.

5) 3 1/2.

6) 7 1/7.

Пошаговое объяснение:

3) 4/15 + 1/6 : 5/6 =

1. 1/6 : 5/6 = 1/6 * 6/5 = (1*6)/(6*5) = 6/30 = 1/5.

2. 4/15 + 1/5 = 4/15 + (3*1)/(3*5) = 4/15 + 3/15 = 7/15.

4) (4/15 + 1/6) : 5/6 =

1. 4/15 + 1/6 = (4*2)/(15*2) + (1*5)/(6*5) = 8/30 + 5/30 = 13/30.

2. 13/30 : 5/6 = 13/30 * 6/5 = (13*6)/(30*5) = 78/150 = 13/25.

5) 3 3/4 : 3/4 : 1 3/7 =

1. 3 3/4 : 3/4 = 15/4 : 3/4 = 15/4 * 4/3 = (15*4)/(4*3) = 60/12 = 5.

2. 5 : 1 3/7 = 5 : 10/7 = 5 * 7/10 = (5*7)/10 = 35/10 = 3 1/2.

6) 3 3/4 : (3/4 : 1 3/7) =

1. 3/4 : 1 3/7 = 3/4 : 10/7 = 3/4 * 7/10 = (3*7)/(4*10) = 21/40.

2. 3 3/4 : 21/40 = 15/4 : 21/40 = 15/4 * 40/21 = (15*40)/(21*4) = 600/84 = 7 1/7.