1) 1 1/4 (2 2/3 - 1 2/5) = 5/4 (8/3 - 7/5) = 5/4 (40/15 - 21/15) = 5/4 19/15 = 95/60 = 19/12 = 1 целая 7/12
2) (1 3/4 + 2 7/8 9/46) : 37/96 = 7/4 + 23/8 9/46 : 37/96 = 7/4 + 207/368 : 37/96 = 7/4 + 207/368 96/37 = 7/4 + 828/681 = 171/48 + 828/681 = (171681 + 48828) / (48681) = 116571/32688 = 3 целых 3137/32688
3) (10 2/3 - 2 10/13) 2 3/5 : 2/3 = 32/3 - 32/13 13/5 : 2/3 = 32/3 - 32/5 : 2/3 = 32/3 - 96/15 = 320/45 - 288/45 = 32/45 = 32/45
4) 9 1/2 - 3 1/2 (1 3/7 + 2 1/2) : 2 3/4 = 19/2 - 7/2 10/7 + 5/2 : 11/4 = 19/2 - 70/14 + 5/2 : 11/4 = 19/2 - 70/14 + 5/2 : 44/12 = 19/2 - 70/14 + 30/12 = 5/2 - 5 + 30/12 = 5/2 - 5 + 15/6 = 15/6 - 10/2 + 15/6 = 20/6 = 10/3 = 3 целых 1/3
5) (12 : 3 3/5 + 2/5) 3/7 - 3/4 = (12 : 18/5 + 2/5) 3/7 - 3/4 = (12 : 20/5) 3/7 - 3/4 = 12 5/20 3/7 - 3/4 = 12 15/100 - 3/4 = 180/100 - 3/4 = 9/5 - 3/4 = 36/20 - 15/20 = 21/20 = 1 целая 1/20
1) 1 1/4 (2 2/3 - 1 2/5)
= 5/4 (8/3 - 7/5)
= 5/4 (40/15 - 21/15)
= 5/4 19/15
= 95/60
= 19/12
= 1 целая 7/12
2) (1 3/4 + 2 7/8 9/46) : 37/96
= 7/4 + 23/8 9/46 : 37/96
= 7/4 + 207/368 : 37/96
= 7/4 + 207/368 96/37
= 7/4 + 828/681
= 171/48 + 828/681
= (171681 + 48828) / (48681)
= 116571/32688
= 3 целых 3137/32688
3) (10 2/3 - 2 10/13) 2 3/5 : 2/3
= 32/3 - 32/13 13/5 : 2/3
= 32/3 - 32/5 : 2/3
= 32/3 - 96/15
= 320/45 - 288/45
= 32/45
= 32/45
4) 9 1/2 - 3 1/2 (1 3/7 + 2 1/2) : 2 3/4
= 19/2 - 7/2 10/7 + 5/2 : 11/4
= 19/2 - 70/14 + 5/2 : 11/4
= 19/2 - 70/14 + 5/2 : 44/12
= 19/2 - 70/14 + 30/12
= 5/2 - 5 + 30/12
= 5/2 - 5 + 15/6
= 15/6 - 10/2 + 15/6
= 20/6
= 10/3
= 3 целых 1/3
5) (12 : 3 3/5 + 2/5) 3/7 - 3/4
= (12 : 18/5 + 2/5) 3/7 - 3/4
= (12 : 20/5) 3/7 - 3/4
= 12 5/20 3/7 - 3/4
= 12 15/100 - 3/4
= 180/100 - 3/4
= 9/5 - 3/4
= 36/20 - 15/20
= 21/20
= 1 целая 1/20