Ответ:
а) x = 2/3
б) y = 1 1/4 или 1,25
в) x = 1 1/4 или 1,25
г) y = 1 7/8
Пошаговое объяснение:
=========================
а) 3 2/5 : x = 6 4/5 : 1 1/3
Методом пропорции
6 4/5 * x = 3 2/5 * 1 1/3
6 4/5 * x = 17/5 * 4/3
6 4/5 * x = 68/15
x = 68/15 : 6 4/5
x = 68/15 : 34/5
x = 68/15 * 5/34
x = 2/3
б) 7 1/3 : 2 1/2 = 3 2/3 : y
7 1/3 * y = 2 1/2 * 3 2/3
7 1/3 * y = 5/2 * 11/3
7 1/3 * y = 55/6
y = 55/6 : 7 1/3
y = 55/6 : 22/3
y = 55/6 * 3/22
y = 5/4
y = 1 1/4 или 1,25
в) 4 2/5 : x = 8 4/5 : 2 1/2
8 4/5 * x = 4 2/5 * 2 1/2
8 4/5 * x = 22/5 * 5/2
8 4/5 * x = 11/1
x = 11/1 : 8 4/5
x = 11/1 : 44/5
x = 11/1 * 5/44
x = 5/4
x = 1 1/4 или 1,25
г) 6 1/2 : 3 3/4 = 3 1/4 : y
6 1/2 * y = 3 3/4 * 3 1/4
6 1/2 * y = 15/4 * 13/4
6 1/2 * y = 195/16
y = 195/16 : 6 1/2
y = 195/16 : 13/2
y = 195/16 * 2/13
y = 15/8
y = 1 7/8
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Answers & Comments
Ответ:
а) x = 2/3
б) y = 1 1/4 или 1,25
в) x = 1 1/4 или 1,25
г) y = 1 7/8
Пошаговое объяснение:
=========================
а) 3 2/5 : x = 6 4/5 : 1 1/3
Методом пропорции
6 4/5 * x = 3 2/5 * 1 1/3
6 4/5 * x = 17/5 * 4/3
6 4/5 * x = 68/15
x = 68/15 : 6 4/5
x = 68/15 : 34/5
x = 68/15 * 5/34
x = 2/3
=========================
б) 7 1/3 : 2 1/2 = 3 2/3 : y
Методом пропорции
7 1/3 * y = 2 1/2 * 3 2/3
7 1/3 * y = 5/2 * 11/3
7 1/3 * y = 55/6
y = 55/6 : 7 1/3
y = 55/6 : 22/3
y = 55/6 * 3/22
y = 5/4
y = 1 1/4 или 1,25
=========================
в) 4 2/5 : x = 8 4/5 : 2 1/2
Методом пропорции
8 4/5 * x = 4 2/5 * 2 1/2
8 4/5 * x = 22/5 * 5/2
8 4/5 * x = 11/1
x = 11/1 : 8 4/5
x = 11/1 : 44/5
x = 11/1 * 5/44
x = 5/4
x = 1 1/4 или 1,25
=========================
г) 6 1/2 : 3 3/4 = 3 1/4 : y
Методом пропорции
6 1/2 * y = 3 3/4 * 3 1/4
6 1/2 * y = 15/4 * 13/4
6 1/2 * y = 195/16
y = 195/16 : 6 1/2
y = 195/16 : 13/2
y = 195/16 * 2/13
y = 15/8
y = 1 7/8
=========================