Verified answer

1. а). 3/2 + (2 1/4 - 1 1/2) = 2 1/4

1) 2 1/4 - 1 1/2 = 2 1/4 - 1 2/4 = 1 5/4 - 1 2/4 = 3/4 

2) 3/2 + 3/4 = 6/4 + 3/4 = 9/4 = 2 1/4

б). 2,6 - 1 2/7 = 2 6/10 - 1 2/7 = 2 42/70 - 1 20/70 = 1 22/70 = 1 11/35

2. х + 3 2/5 = 14 1/6

х = 14 1/6 - 3 2/5 = 14 5/30 - 3 12/30 = 13 35/30 - 3 12/30 = 10 23/30

х = 10 23/30

3. (11 2/3 - 8 3/4) + (3 1/3 + 2 5/6) - 4 7/12 = 4 1/2

1) 11 2/3 - 8 3/4 = 11 8/12 - 8 9/12 = 10 20/12 - 8 9/12 = 2 11/12

2) 3 1/3 + 2 5/6 = 3 2/6 + 2 5/6 = 5 7/6 = 6 1/6

3) 2 11/12 + 6 1/6 = 2 11/12 + 6 2/12 = 8 13/12 = 9 1/12

4) 9 1/12 - 4 7/12 = 8 13/12 - 4 7/12 = 4 6/12 = 4 1/2

1-1. а). 3 2/5 - (1 1/3 + 1 1/4) = 49/60

1) 1 1/3 + 1 1/4 = 1 4/12 + 1 3/12 = 2 7/12

2) 3 2/5 - 2 7/12 = 3 24/60 - 2 35/60 = 2 84/60 - 2 35/60 = 49/60

б). 3,4 + 2 3/4 = 3 4/10 + 2 3/4 = 3 8/20 + 2 15/20 = 5 23/20 = 6 3/20

2-2. х - 2 1/3 = 12 1/4

х = 12 1/4 + 2 1/3 = 12 3/12 + 2 4/12 = 14 7/12

х = 14 7/12

3-3. (3 1/4 - 2 2/3) * (1 5/6 - 1 7/12) + 3 5/24 = 3 17/48

1) 3 1/4 - 2 2/3 = 3 3/12 - 2 8/12 = 2 15/12 - 2 8/12 = 7/12 

2) 1 5/6 - 1 7/12 = 1 10/12 - 1 7/12 = 3/12 = 1/4

3) 7/12 * 1/4 = 7/48

4) 7/48 + 3 5/24 = 7/48 + 3 10/48 = 3 17/48