1 - 9/16 = 16/16 - 9/16 = (16-9)/16 = 7/16;
14 - 6/7 = (13 + 7/7) - 6/7 = 13 + (7/7- 6/7) =1 3 + (7-6)/7= 13 +1/7 =
= 13 1/7;
14 6/11 - 6 = (14 + 6/11) - 6 = (14 - 6) + 6/11 = 8 + 6/11 = 8 6/11;
14 - 9 9/14 = (13 + 14/14) - (9 + 9/14) = 13 + 14/14 - 9 - 9/14 =
= (13 - 9) + (14/14 - 9/14) = 4 + (14-9)/14 = 4 + 5/14 = 4 5/14;
9 1/2 - 4 7/18 = (9 + 1/2) - (4 + 7/18) = 9 + 1/2 - 4 - 7/18 =
= (9 - 4) + (1/2 - 7/18) = 5 + (1*9/2*9 - 7/18) = 5 + (9/18 -7/18) =
= 5 + (9-7)/18 = 5 + 2/18 = 5 + 2/2*9 = 5 + 1/9 = 5 1/9;
8 2/3 - 2 5/7 = (8 + 2/3) - (2 + 5/7) = 8 +2/3 - 2 - 5/7 =
= (8 - 2) + (2/3 - 5/7) = 6 + (2*7/3*7 - 5*3/7*3) =
= 6 + (14/21 - 15/21) = 6 + (14-15)/21 = 6 + (-1/21) = (5 + 21/21) - 1/21 =
= 5 + (21/21 - 1/21) = 5 + (21-1)/21 = 5 + 20/21 = 5 20/21;
28 11/17 + 34 6/17 = 28 + 11/17 + 34 + 6/17 =
(28 + 34 ) + (11/17 + 6/17) = 62 + (11+6)/17 = 62 + 17/17 =
= 62 + 1 = 63;
4 7/10 + 3 5/12 = 4 +7/10 +3 + 5/12 = (4 + 3) + (7/10 + 5/12) =
= 7 + (7*6/10*6 + 5*5/12*5) = 7 + (42/60 + 25/60) =
= 7 + (42+25)/60 = 7 + 67/60 = 7 + (60/60+ 7/60) =
= 7 + (1 + 7/60) = (7 + 1) + 7/60 = 8 + 7/60 = 8 7/60;
5 3/4 + 3 8/9 + 6 3/18 = 5 + 3/4 +3 +8/9 +6 + 3/18 =
= (5 + 3 + 6 ) + (3/4 + 8/9 + 3/18) =
= 14 + (3*9/4*9 + 8*4/9*4 + 3*2/18*2) =
= 14 +(27/36 + 32/36 + 6/36) = 14 + (27+32+6)/36 =
= 14 + 65/36 = 14 + (36/36+29/36) = 14 + (1 + 29/36) = (14 +1 ) + 29/36 =
= 15 +29/36 = 15 29/36;
9 11/12 + 4 8/15 - 5 7/20 = (9 + 11/12) + (4 +8/15) - (5 + 7/20) =
= 9 + 11 /12 + 4 + 8/15 - 5 - 7/20 =
=(9 + 4 - 5) + (11/12 + 8/15 - 7/20) =
= 8+ (11*5/12*5 + 8*4/15*4 - 7*3/20*3) =
= 8 + (55/60 + 32/60 -21/60) = 8 + (55+32-21)/60 =
= 8 +66/60 = 8 + 6*11/6*10 = 8 + 11/10 = 8 + (10/10+ 1/10) =
= 8 + (1 + 1/10) = (8 + 1) + 1/10 = 9 + 1/10 = 9 1/10.
