выполните действия7 целых 3/4-(4 целых 5/6-3 целых 1/2)+1 целых 2/39 целых 2/5-(8 целых...

Question

выполните действия
7 целых 3/4-(4 целых 5/6-3 целых 1/2)+1 целых 2/3
9 целых 2/5-(8 целых 1/3-7 целых 1/4+5 целых 1/6)
(6 целых 5/8-1/2)- (5 целых 3/4-2 целых 1/6)+(9 целых 5/8-7 целых 1/3)
(5 целых 1/30-2 целых 3/5-2/15+6 целых)-(7 целых-6 целых 11/12+1/4)

Answer 1

1}}7 3/4- (4 5/6- 3 1/2)+ 1 2/3= 8 1/12

1)) 4 5/6- 3 1/2 = 4 5/6 - 3 (1•3)/(2•3)=
4 5/6 - 3 3/6= 1 2/6= 1 1/3

2)) 7 3/4 - 1 1/3=
7 (3•3)/(4•3) - 1 (1•4)/(3•4)=
7 9/12 - 1 4/12= 6 5/12

3)) 6 5/12+ 1 2/3= 6 5/12+ 1 (2•4)/(3•4)=
6 5/12+ 1 8/12= 7 13/12= 8 1/12


2}}9 2/5- (8 1/3- 7 1/4+ 5 1/6)= 3 3/20

1)) 8 1/3 - 7 1/4=
8 (1•4)/(3•4) - 7 (1•3)/(4•3)=
8 4/12 - 7 3/12= 1 1/12

2)) 1 1/12+ 5 1/6= 1 1/12+ 5 (1•2)/(6•2)=
1 1/12+ 5 2/12= 6 3/12= 6 1/4

3)) 9 2/5 - 6 1/4=
9 (2•4)/(5•4) - 6 (1•5)/(4•5)=
9 8/20 - 6 5/20= 3 3/20 =3,15


3}} (6 5/8 - 1/2) - (5 3/4 - 2 1/6) +
(9 5/8 - 7 1/3)= 4 5/6

1)) 6 5/8 - 1/2= 6 5/8 - (1•4)/(2•4)=
6 5/8 - 4/8= 6 1/8

2)) 5 3/4 - 2 1/6=
5 (3•3)/(4•3) - 2 (1•2)/(6•2)=
5 9/12 - 2 2/12= 3 7/12

3)) 9 5/8 - 7 1/3=
9 (5•3)/(8•3) - 7 (1•8)/(3•8)=
9 15/24 - 7 8/24= 2 7/24

4)) 6 1/8 - 3 7/12=
6 (1•3)/(8•3) - 3 (7•2)/(12•2)=
6 3/24 - 3 14/24=
5 (24•1+3)/24 - 3 14/24=
5 27/24 - 3 14/24= 2 13/24

5)) 2 13/24 + 2 7/24= 4 20/24= 4 5/6


4}} (5 1/30 - 2 3/5 - 2/15 + 6) -
(7 - 6 11/12 + 1/4)= 7 29/30

1)) 5 1/30 - 2 3/5= 5 1/30 - 2 (3•6)/(5•6)=
4 (30•1+1)/30 - 2 18/30=
4 31/30 - 2 18/30= 2 13/30

2)) 2 13/30 - 2/15= 2 13/30 - (2•2)/(15•2)=
2 13/30 - 4/30= 2 9/30= 2 3/10

3)) 2 3/10 + 6= 8 3/10

4)) 7 - 6 11/12= 6 12/12 - 6 11/12= 1/12

5)) 1/12+ 1/4= 1/12+ (1•3)/(4•3)=
1/12+ 3/12= 4/12= 1/3

6)) 8 3/10 - 1/3=
8 (3•3)/(10•3) - (1•10)/(3•10)=
8 9/30 - 10/30= 7 (30•1+9)/30 - 10/30=
7 39/30 - 10/30= 7 29/30



Второй способ
Раскрыть скобки и потом считать как удобно

1}}7 3/4- (4 5/6- 3 1/2)+ 1 2/3=

7 3/4 - 4 5/6 + 3 1/2+ 1 2/3= 8 1/12

1)) 3 1/2+ 1 2/3=
3 (1•3)/(2•3)+ 1 (2•2)/(3•2)=
3 3/6+ 1 4/6= 4 7/6

2)) 4 7/6 - 4 5/6= 2/6= 1/3

3)) 7 3/4+ 1/3=
7 (3•3)/(4•3)+ (1•4)/(3•4)=
7 9/12+ 4/12= 7 13/12= 8 1/12


2}}9 2/5- (8 1/3- 7 1/4+ 5 1/6)=

9 2/5 - 8 1/3 + 7 1/4 - 5 1/6=
9 2/5 + 7 1/4 - (8 1/3+ 5 1/6)= 3 3/20

1)) 9 2/5 + 7 1/4=
9 (2•4)/(5•4) + 7 (1•5)/(4•5)=
9 8/20 + 7 5/20= 16 13/20

2)) 8 1/3+ 5 1/6= 8 (1•2)/(3•2)+ 5 1/6=
8 2/6+ 5 1/6= 13 3/6= 13 1/2

3)) 16 13/20 - 13 1/2=
16 13/20 - 13 (1•10)/(2•10)=
16 13/20 - 13 10/20= 3 3/20= 3,15


3}} (6 5/8 - 1/2) - (5 3/4 - 2 1/6) +
(9 5/8 - 7 1/3)=6 5/8 - 1/2 - 5 3/4 +
2 1/6 + 9 5/8 - 7 1/3= 4 5/6


1)) 6 5/8+ 9 5/8= 15 10/8= 16 2/8= 16 1/4

2)) 16 1/4 - 5 3/4= 15 (4•1+1)/4 - 5 3/4=
15 5/4- 5 3/4= 10 2/4= 10 1/2

3)) 10 1/2- 1/2= 10

4)) 10 + 2 1/6= 12 1/6

5)) 12 1/6 - 7 1/3=
11 (6•1+1)/6 - 7 (1•2)/(3•2)=
11 7/6 - 7 2/6= 4 5/6


4}} (5 1/30 - 2 3/5 - 2/15 + 6) -
(7 - 6 11/12 + 1/4)=5 1/30 - 2 3/5 - 2/15 + 6 - 7 + 6 11/12 -1/4=
5 1/30+ 6+ 6 11/12 - 7 -1/4 - (2 3/5+ 2/15)= 7 29/30

1)) 5 1/30 + 6= 11 1/30

2)) 11 1/30+ 6 11/12=
11 (1•2)/(30•2) + 6 (11•5)/(12•5)=
11 2/60+ 6 55/60= 17 57/60

3)) 17 57/60 - 7= 10 57/60

4)) 10 57/60 - 1/4=
10 57/60 -(1•15)/(4•15)=
10 57/60 - 15/60=
10 42/60= 10 21/30

5)) 2 3/5+ 2/15= 2 (3•3)/(5•3) + 2/15=
2 9/15+ 2/15= 2 11/15

6)) 10 21/30 - 2 11/15=
10 21/30 - 2 (11•2)/(15•2)=
10 21/30 - 2 22/30=
9 (30•1+21)/30 - 2 22/30=
9 51/30 - 22/30= 9 29/30