Пошаговое объяснение:
1. (1 3/25 -4/25)÷(1 -2/5)·(10-9 1/6)=1 1/3
1.1. 1 3/25 -4/25=28/25 -4/25=24/25
1.2. 1 -2/5=5/5 -2/5=3/5
1.3. 10-9 1/6=9 6/6 -9 1/6=5/6
1.4. 24/25 ÷3/5=24/25 ·5/3=8/5
1.5. 8/5 ·5/6=4/3=1 1/3
2. (1 +7/23)·(2 -4/25)÷(99-98 1/5)=3
2.1. 1 +7/23=1 7/23=30/23
2.2. 2 -4/25=50/25 -4/25=46/25
2.3. 99-98 1/5=98 5/5 -98 1/5=4/5
2.4. 30/23 ·46/25=(6·2)/5=12/5
2.5. 12/5 ÷4/5=12/5 ·5/4=3
3. (7/15 +23/45)·(1 4/11 +5/22)÷(11 5/18 -7 1/9)=28/75
3.1. 7/15 +23/45=21/45 +23/45=44/45
3.2. 1 4/11 +5/22=1 8/22 +5/22=1 13/22=35/22
3.3. 11 5/18 -7 1/9=11 5/18 -7 2/18=4 3/18=4 1/6=25/6
3.4. 44/45 ·35/22=(2·7)/9=14/9
3.5. 14/9 ÷25/6=14/9 ·6/25=(14·2)/(3·25)=28/75
4. (15-13 4/97)·(1 4/5 +7/50)÷(12 7/10 -7)=2/3
4.1. 15-13 4/97=14 97/97 -13 4/97=1 93/97=190/97
4.2. 1 4/5 +7/50=1 40/50 +7/50=1 47/50=97/50
4.3. 12 7/10 -7=5 7/10=57/10
4.4. 190/97 ·97/50=19/5
4.5. 19/5 ÷57/10=19/5 ·10/57=2/3
5. (1 3/13 +14/65)÷(21-18 6/13)÷(5 10/11 -5 3/55)=2/3
5.1. 1 3/13 +14/65=1 15/65 +14/65=1 29/65=94/65
5.2. 21-18 6/13=20 13/13 -18 6/13=2 7/13=33/13
5.3. 5 10/11 -5 3/55=5 50/55 -5 3/55=47/55
5.4. 94/65 ÷33/13=94/65 ·13/33=94/(5·33)=94/165
5.5. 94/165 ÷47/55=94/165 ·55/47=2/3
6. (6 2/11 -5 1/77)·(17/35 +1 2/5)·(8 1/9 -5 7/18)=6
6.1. 6 2/11 -5 1/77=6 14/77 -5 1/77=1 13/77=90/77
6.2. 17/35 +1 2/5=17/35 +1 14/35=1 31/35=66/35
6.3. 8 1/9 -5 7/18=8 2/18 -5 7/18=7 20/18 -5 7/18=2 13/18=49/18
6.4. 90/77 ·66/35=(18·6)/(7·7)=108/49
6.5. 108/49 ·49/18=6
