Ч))
{1 5/6+2 4/9 -1 3/4} •4- {3 1/2 -1 7/10}•5=
{1 (5•6)/(6•6)+2 (4•4)/(9•4)-1 (3•9)/(4•9)}•4 - { 3 (1•5)/(2•5)- 1 7/10}•5=
{1 30/36+ 2 16/36- 1 27/36}• 4 - {3 5/10-1 7/10}•5=
{2 19/36}•4- { 2 15/10- 1 7/10}•5=
(2•36+19)/36• 4- { 1 8/10}•5=
91/36• 4- (1•10+8)/10• 5=
Сокращаем 36 и 4 на 4; 10 и 5 на 5
91/9• 1- 18/2• 1=
9 1/9- 9= 1/9.
Ш))
{ (1 2/3)^2 - 1 1/2} •4 2/23 +21/23• {2 5/6- 2 10/12}=
{ ((1•3+2)/3)^2- (1•2+1)/2}• (4•23+2)/23+
21/23• { 2 (5•2)/(6•2)- 2 10/12}=
{((5/3))^2- 3/2}• 94/23+ 21/23• {2 10/12- 2 10/12}=
{ (25/9)-3/2}• 94/23+ 21/23• 0=
{(25•2)/(9•2)- (3•9)/(2•9)}• 94/23+0=
{50/18- 27/18}• 94/23=
23/18•94/23=
Сокращаем 23 и 23 на 23; 18 и 94 на 2;
1/9• 47/1= 47/9= 5 2/9.
Щ))
12•1/6• 1 1/2• 3 3/4• 4 1/5=
Сокращаем 12 и 6 на 6;
2• 1/1• (1•2+1)/2• (3•4+3)/4• (4•5+1)/5=
2• 3/2• 15/4• 21/5=
Сокращаем 2 и 2 на 2; 15 и 5 на 5;
1• 3/1• 3/4• 21/1=
189/4= 47 1/4.
Ъ))
3•5 1/4• 1 1/7• 5 1/2• 4/11=
3• (5•4+1)/4• (1•7+1)/7• (5•2+1)/2• 4/11=
3• 21/4• 8/7• 11/2• 4/11=
Сокращаем 21 и 7 на 7; 4 и 4 на 4; 11 и 11 на 11; 8 и 2 на 2;
3• 3/1• 4/1• 1/1• 1/1=
Сокращаем 3 и 3 на 3;
1• 1/1• 4/1• 1/1• 1/1= 4.
Ы)) 45/77• (11/15- 3/20)=
45/77• ((11•4)/(15•4)- (3•3)/(20•3))=
45/77• (44/60- 9/60)=
45/77• 35/60=
Сокращаем 45 и 60 на 15; 77 и 35 на 7;
3/11• 5/4= 15/44.
Ь))
(5/8+11/36)• 6/67=
( (5•9)/(8•9)+ (11•2)/(36•2))• 6/67=
(45/72+ 22/72)• 6/67=
67/72• 6/67=
Сокращаем 67 и 67 на 67; 72 и 6 на 6;
1/12• 1/1= 1/12.
Э))
3/8• 5+ 4 1/6• 2 1/10- 9/20• 6=
Сокращаем 20 и 6 на 2;
15/8+ (4•6+1)/6• (2•10+1)/10- 9/10• 3=
1 7/8+ 25/6• 21/10- 27/10=
Сокращаем 6 и 21 на 3; 25 и 10 на 5;
1 7/8+ 5/2• 7/2- 2 7/10=
1 7/8+ 35/4- 2 7/10=
1 7/8+ 8 (3•2)/(4•2)-2 7/10=
1 7/8+ 8 6/8- 2 7/10=
9 13/8- 2 7/10=
10 5/8- 2 7/10=
10 (5•5)/(8•5)- 2 (7•4)/(10•4)=
10 25/40- 2 28/40=
9 65/40- 2 28/40=
7 37/40.
Ю)) 2•1 5/12+ 4• 1 1/8+ 1 1/9• 1 1/4=
2• (1•12+5)/12+ 4• (1•8+1)/8+ (1•9+1)/9• (1•4+1)/4=
2• 17/12+ 4• 9/8+ 10/9• 5/4=
Сокращаем 2 и 12 на 2; 4 и 8 на 2; 10 и 4 на 2;
1• 17/6+ 1• 9/2+ 5/9• 5/2=
17/6+ 9/2+ 25/18=
2 5/6+ 4 1/2+ 1 7/18=
2 (5•3)/(6•3)+ 4 (1•9)/(2•9)+ 1 7/18=
2 15/18+ 4 9/18+ 1 7/18=
7 31/18= 8 13/18.