1) (1,4/7 + 5/7 -2/7)-4/9 = 1 + 7/7 - 2/7 - 4/9= 1 + 1 - 2/7 - 4/9= 2 - 2/7 - 4/9= 18/9 - 2/7 - 4/9= (187)/(97) - (29)/(79) - (47)/(97)= 126/63 - 18/63 - 28/63= (126 - 18 - 28)/63= 80/63
2) (1,13/24 - 7/24)+(5/8-3/8) = 1 + 13/24 - 7/24 + 5/8 - 3/8= 1 + 13/24 - 7/24 + 5/8 - 3/8= 1 + 6/24 + 10/8 - 3/8= 1 + 1/4 + 5/4 - 3/8= 1 + (1+5-3)/4= 1 + 3/4= 4/4 + 3/4= 7/4
3) Пусть число равно x.
Тогда у нас есть уравнение:
3/4 x = 1/9 (2/5 * x) = 54
Решаем уравнение:
3/4 x = 1/9 (2/5 x)x = (1/9 (2/5 x)) / (3/4)x = (2/45 x) / (3/4)x = 8/45 * x1 = 8/45x = 45/8
Ответ: 45/8
1) (1,4/7 + 5/7 -2/7)-4/9 = 1 + 7/7 - 2/7 - 4/9
Ответ: 80/63= 1 + 1 - 2/7 - 4/9
= 2 - 2/7 - 4/9
= 18/9 - 2/7 - 4/9
= (187)/(97) - (29)/(79) - (47)/(97)
= 126/63 - 18/63 - 28/63
= (126 - 18 - 28)/63
= 80/63
2) (1,13/24 - 7/24)+(5/8-3/8) = 1 + 13/24 - 7/24 + 5/8 - 3/8
Ответ: 7/4= 1 + 13/24 - 7/24 + 5/8 - 3/8
= 1 + 6/24 + 10/8 - 3/8
= 1 + 1/4 + 5/4 - 3/8
= 1 + (1+5-3)/4
= 1 + 3/4
= 4/4 + 3/4
= 7/4
3) Пусть число равно x.
Тогда у нас есть уравнение:
3/4 x = 1/9 (2/5 * x) = 54
Решаем уравнение:
3/4 x = 1/9 (2/5 x)
x = (1/9 (2/5 x)) / (3/4)
x = (2/45 x) / (3/4)
x = 8/45 * x
1 = 8/45
x = 45/8
Ответ: 45/8