Для a = 0:
3 1/2 + 5/6 + 1 3/4= 3 + 1/2 + 5/6 + 7/4= 3 + 6/12 + 10/12 + 21/12= 3 + 16/12= 3 4/3
Для a = 1:
3 1/2 + 5/6 + 2 5/8 + 1 3/4= 3 + 1/2 + 5/6 + 2 + 5/8 + 1 + 3/4= 3 + 6/12 + 10/12 + 2 + 40/8 + 1 + 21/12= 3 + 16/12 + 10/12 + 2 + 20/4 + 1 + 21/12= 3 + 1 + 10/12 + 2 + 5 + 1 + 1 9/7= 3 1/2 + 2 + 5 + 2 9/7= 8 9/14
Для a = 4:
3 1/2 4 + 5/6 4 + 2 5/8 4 + 1 3/4 4= 12 + 20/3 + 10 + 40/8 + 1 + 12= 12 + 20/3 + 10 + 5 + 1 + 12= 12 + 20/3 + 16= 12 + 60/15 + 48/15= 12 64/15
Для a = 8/49:
3 1/2 8/49 + 5/6 8/49 + 2 5/8 8/49 + 1 3/4 8/49= 3 8/98 + 40/98 + 2 40/98 + 8/98= 3 1 8/98 + 40/98 + 1 40/98 + 8/98= 3 2 24/98 + 40/98 + 1 40/98 + 8/98= 3 3 64/98 + 40/98 + 1 40/98 + 8/98= 3 4 104/98= 4 6/49
Для a = 1 5/7:
3 1/2 1 5/7 + 5/6 1 5/7 + 2 5/8 1 5/7 + 1 3/4 1 5/7= 3 1/2 12/7 + 5/6 12/7 + 2 5/8 12/7 + 1 3/4 12/7= 3 6/14 + 60/42 + 2 60/56 + 12/7= 3 3/7 + 20/7 + 4 30/56 + 12/7= 3 3/7 + 20/7 + 4 15/28 + 12/7= 4 + 3 + 2/7 + 15/28 + 12/7= 7 2/7 + 15/28 + 12/7= 7 24/28 + 15/28 + 48/28= 7 87/28
Для a = 0:
3 1/2 + 5/6 + 1 3/4
= 3 + 1/2 + 5/6 + 7/4
= 3 + 6/12 + 10/12 + 21/12
= 3 + 16/12
= 3 4/3
Для a = 1:
3 1/2 + 5/6 + 2 5/8 + 1 3/4
= 3 + 1/2 + 5/6 + 2 + 5/8 + 1 + 3/4
= 3 + 6/12 + 10/12 + 2 + 40/8 + 1 + 21/12
= 3 + 16/12 + 10/12 + 2 + 20/4 + 1 + 21/12
= 3 + 1 + 10/12 + 2 + 5 + 1 + 1 9/7
= 3 1/2 + 2 + 5 + 2 9/7
= 8 9/14
Для a = 4:
3 1/2 4 + 5/6 4 + 2 5/8 4 + 1 3/4 4
= 12 + 20/3 + 10 + 40/8 + 1 + 12
= 12 + 20/3 + 10 + 5 + 1 + 12
= 12 + 20/3 + 16
= 12 + 60/15 + 48/15
= 12 64/15
Для a = 8/49:
3 1/2 8/49 + 5/6 8/49 + 2 5/8 8/49 + 1 3/4 8/49
= 3 8/98 + 40/98 + 2 40/98 + 8/98
= 3 1 8/98 + 40/98 + 1 40/98 + 8/98
= 3 2 24/98 + 40/98 + 1 40/98 + 8/98
= 3 3 64/98 + 40/98 + 1 40/98 + 8/98
= 3 4 104/98
= 4 6/49
Для a = 1 5/7:
3 1/2 1 5/7 + 5/6 1 5/7 + 2 5/8 1 5/7 + 1 3/4 1 5/7
= 3 1/2 12/7 + 5/6 12/7 + 2 5/8 12/7 + 1 3/4 12/7
= 3 6/14 + 60/42 + 2 60/56 + 12/7
= 3 3/7 + 20/7 + 4 30/56 + 12/7
= 3 3/7 + 20/7 + 4 15/28 + 12/7
= 4 + 3 + 2/7 + 15/28 + 12/7
= 7 2/7 + 15/28 + 12/7
= 7 24/28 + 15/28 + 48/28
= 7 87/28