3/4 / 3/8х-3/4-1/6=1/2

Question

3/4 / 3/8х-3/4-1/6=1/2

Comments

Выделите в скобки все дроби, неясно, что к чему относится.

Answer 1

3/4 / 3/8х-3/4-1/6=1/2
3/4• 8/3х- 3/4- 1/6= 1/2
1/1• 2/1х= 1/2+3/4+1/6
2х= (1•6)/(2•6)+ (3•3)/(4•3)+ (1•2)/(6•2)
2х= 6/12+9/12+2/12
2х= 17/12
Х= 17/12: 2
Х= 17/12•1/2
Х= 17/24

Проверка
3/4 / 3/8х-3/4-1/6=1/2
3/4/ 3/8• 17/24- 3/4- 1/6= 1/2
3/4• 8/3• 17/24- 3/4- 1/6= 1/2
1/1• 2/1• 17/24- 3/4- 1/6=1/2
1/1•1/1•17/12- (3•3)/(4•3)- (1•2)/(6•2)=1/2
17/12- 9/12- 2/12=1/2
8/12- 2/12=1/2
6/12=1/2
1/2=1/2