Ответ:
а) (6 1/2 + 3 1/6) - 2 1/3 × 1 5/8 = (6 3/6 + 3 1/6) - 2 1/3 × 1 5/8= 2 1/3 × 1 5/8 = 7/3 × 13/8 = 91/24 = 9 4/6 - 3 19/24 = 9 16/24 - 3 19/24 = 8 40/24 - 3 19/24 = 5 21/24 = 5 7/8
НОК (2;6) = 6
НОК (6;24)=24
б) (3 3/4 - 1 5/6) + 5 × 7/60 = (3 9/12 - 1 10/12) + 5 × 7/60 = 2 21/12 - 1 10/12 = 1 11/12 = 1 11/12 + 5 × 7/60 = 5/1 × 7/60 = 1/1 × 7/12 = 7/12 = 1 11/12 + 7/12 = 2 6/12 = 2 1/2
НОК ( 4;6) = 12
в) 3 × 2 1/3 + (5 1/3 - 3 2/5) = 5 5/15 - 3 6/15 = 4 20/15 - 3 6/15 = 1 14/15 = 3 × 2 1/3 = 3/1 × 7/3 = 1/1 × 7/1 = 7/1 = 1 14/15 + 7 = 8 14/15
НОК (3;5)=15
г) 2 2/9 × (1 5/6 - 7/15) - 3 1/27 = 1 25/30 - 14/30 = 1 11/30 = 2 2/9 × 1 11/30 - 3 1/27 = 2 2/9 × 1 11/30 = 20/9 × 41/30 = 2/9 × 41/3 = 82/27 = 3 1/27 = 3 1/27 - 3 1/27 = 0
НОК (6;15)=30
д) 5/6 × 3/20 × 4 3/20 = 5/6 × 3/20 = 1/2 × 1/4 = 1/8 = 1/8 × 4 3/20 = 1/8 × 83/20 = 83/160
е) 1 7/8 × 1 1/15 × 1 7/16 = 15/7 × 16/15 × 23/16 = 15/7 × 16/15 = 1/7 × 16/1 = 16/7 = 16/7 × 23/16 = 1/7 × 23/1 = 23/7 = 3 2/7
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Ответ:
а) (6 1/2 + 3 1/6) - 2 1/3 × 1 5/8 = (6 3/6 + 3 1/6) - 2 1/3 × 1 5/8= 2 1/3 × 1 5/8 = 7/3 × 13/8 = 91/24 = 9 4/6 - 3 19/24 = 9 16/24 - 3 19/24 = 8 40/24 - 3 19/24 = 5 21/24 = 5 7/8
НОК (2;6) = 6
НОК (6;24)=24
б) (3 3/4 - 1 5/6) + 5 × 7/60 = (3 9/12 - 1 10/12) + 5 × 7/60 = 2 21/12 - 1 10/12 = 1 11/12 = 1 11/12 + 5 × 7/60 = 5/1 × 7/60 = 1/1 × 7/12 = 7/12 = 1 11/12 + 7/12 = 2 6/12 = 2 1/2
НОК ( 4;6) = 12
в) 3 × 2 1/3 + (5 1/3 - 3 2/5) = 5 5/15 - 3 6/15 = 4 20/15 - 3 6/15 = 1 14/15 = 3 × 2 1/3 = 3/1 × 7/3 = 1/1 × 7/1 = 7/1 = 1 14/15 + 7 = 8 14/15
НОК (3;5)=15
г) 2 2/9 × (1 5/6 - 7/15) - 3 1/27 = 1 25/30 - 14/30 = 1 11/30 = 2 2/9 × 1 11/30 - 3 1/27 = 2 2/9 × 1 11/30 = 20/9 × 41/30 = 2/9 × 41/3 = 82/27 = 3 1/27 = 3 1/27 - 3 1/27 = 0
НОК (6;15)=30
д) 5/6 × 3/20 × 4 3/20 = 5/6 × 3/20 = 1/2 × 1/4 = 1/8 = 1/8 × 4 3/20 = 1/8 × 83/20 = 83/160
е) 1 7/8 × 1 1/15 × 1 7/16 = 15/7 × 16/15 × 23/16 = 15/7 × 16/15 = 1/7 × 16/1 = 16/7 = 16/7 × 23/16 = 1/7 × 23/1 = 23/7 = 3 2/7
Вот ответ.Я не уверена что все ответы правильные.
Мне было бы очень приятно если бы вы просто поставили лайк)