Verified answer

1)

(6 2/3 + 2 4/15 + 5,5) : 1/15 - 30 : 5/28 =  48 1/2

1.  6 2/3 + 2 4/15 = 6 10/15 + 2 4/15 = 8 14/15,

2.  8 14/15 + 5,5 = 8 14/15 + 5 5/10 = 8 28/30 + 5 15/30 = 13 43/30 = 14 13/30,

3.  14 13/30 : 1/15 = 433/30 * 15/1 = 433/2 = 216 1/2,

4.  30 : 5/28 = 30 * 28/5 = 6 * 28 = 168,

5.  216 1/2 - 168 = 48 1/2

2) (7 1/3 - 6 7/8) : 3/4 - (5 1/4 - 4 21/40) : 1 9/20 =  1/9

1.  7 1/3 - 6 7/8 = 7 8/24 - 6 21/24 = 6 32/24 - 6 21/24 = 11/24,

2.  11/24 : 3/4 = 11/24 * 4/3 = 11/18,

3.  5 1/4 - 4 21/40 = 5 10/40 - 4 21/40 = 4 50/40 - 4 21/40 = 29/40,

4.  29/40 : 1 9/20 = 29/40 : 29/20 = 29/40 * 20/29 = 1/2,

5.  11/18 - 1/2 = 11/18 - 9/18 = 2/18 = 1/9

Пошаговое объяснение:

№1

1) 6 2/3 + 2 4/15 = 6 10/15 + 2 4/15 = 8 14/15

2) 8 14/15 + 5,5 = 8 14/15 + 5 5/10 = 8 28/30 + 5 15/30 = 13 43/30 = 14 13/30

3) 14 13/30 : 1/15 = 433/30 * 15/1 = 433/2 * 1/1 = 433/2 = 216 1/2

4) 30 : 5/28 = 30 * 28/5 = 6 * 28/1 = 168/1 = 168

5) 216 1/2 - 168 = 48 1/2

№2

1) 7 1/3 - 6 7/8 = 7 8/24 - 6 21/24 = 6 32/24 - 6 21/24 = 11/24

2) 11/24 : 3/4 = 11/24 * 4/3 = 11/6 * 1/3 = 11/18

3) 5 1/4 - 4 21/40 = 5 10/40 - 4 21/40 = 4 50/40 - 4 21/40 = 29/40

4) 29/40 : 1 9/20 = 29/40 : 29/20 = 29/40 * 20/29 = 20/40 = 1/2

5) 11/18 - 1/2 = 11/18 - 9/18 = 2/18 = 1/9