{ (3 - 2 5/9) :1/2} /
{ (1,35- 4/15)•3/13 +2 5/12} +
{ (7/18+ 5/12- 2/3) •0,9} /
{ 0,1 : ( 2 1/15+ 1/3)}= 3 11/24.
Первая часть (левая)
1)) (3- 2 5/9) : 1/2=
(2 9/9- 2 5/9) :1/2 =
2 4/9 : 1/2= (2•9+4)/9 • 1/2=
22/9• 1/2=
Сокращаем 22 и 2 на 2;
11/9• 1/1= 11/9
2)) (1,35- 4/15)• 3/13+ 2 5/12=
(1 35/100- 4/15)• 3/13+ 2 5/12=
Сокращаем 35/100 на 5
( 1 7/20- 4/15)• 3/13+ 2 5/12=
( (1 (7•3)/(20•3)- (4•4)/(15•4) )• 3/13+
2 5/12=
( 1 21/60- 16/60)• 3/13+ 2 5/12=
1 5/60• 3/13+ 2 5/12=
Сокращаем 5/60 на 5;
1 1/12• 3/13+ 2 5/12=
(1•12+1)/12• 3/13+ 2 5/12=
13/12• 3/13+ 2 5/12=
Сокращаем 13 и 13 на 13;
1/12• 3/1+ 2 5/12=
3/12+ 2 5/12= 2 8/12=
Сокращаем 8/12 на 4;
= 2 2/3.
3)) 11/9 / 2 2/3= 11/9: (2•3+2)/3=
11/9: 8/3= 11/9• 3/8=
Сокращаем 9 и 3 на 3;
11/3• 1/8= 11/24.
Вторая часть (правая)
4)) (7/18+ 5/12- 2/3) •0,9=
( (7•2)/(18•2)+ (5•3)/(12•3) -(2•12)/(3•12) )• 0,9=
(14/36+ 15/36- 24/36)• 9/10=
5/36• 9/10=
Сокращаем 5 и 10 на 5; 36 и 9 на 9;
1/4• 1/2= 1/8
5)) 0,1 : ( 2 1/15+ 1/3)=
0,1: (2 1/15+ (1•5)/(3•5))=
0,1: (2 1/15+ 5/15)=
1/10: 2 6/15=
Сокращаем 6/15 на 3;
1/10: 2 2/5=
1/10: (2•5+2)/5=
1/10: 12/5= 1/10• 5/12=
Сокращаем 10 и 5 на 5;
1/2• 1/12= 1/24
6)) 1/8 / 1/24= 1/8: 1/24=
1/8• 24/1=
Сокращаем 8 и 24 на 8;
1/1• 3/1= 3
Сумма двух частей
7)) 11/24+ 3= 3 11/24.