1) 5 1/7 · 1 8/27 = 6 2/3
5 целых 1/7 = (5·7+1)/7 = 36/7
1 целая 8/27 = (1·27+8)/27 = 35/27
5 1/7 · 1 8/27 = 36/7 · 35/27 = (4·5)/(1·3) = 20/3 = 6 2/3
ответ: 6 целых 2/3.
2) 1 8/9 · 1 1/18 · 2 2/3 = 5 77/243
1 целая 8/9 = (1·9+8)/9 = 17/9
1 целая 1/18 = (1·18+1)/18 = 19/18
2 целых 2/3 = (2·3+2)/3 = 8/3
1) 1 8/9 · 1 1/18 = 17/9 · 19/18 = (17·19)/(9·18) = 323/162 = 1 161/162
2) 323/162 · 8/3 = (323·4)/(81·3) = 1292/243 = 5 77/243
ответ: 5 целых 77/243.
Пошаговое объяснение:
1)
5. 1/7 * 1. 8/27 = 36/7 * 35/27 = 4/1 * 5/3 = 20/3 =
6. 2/3
2)
1. 8/9 * 1. 1/18 * 2. 2/3 =
17/9 * 19/18 * 8/3 =
17/9 * 19/9 * 4/3 =
(17*19*4)/(9*9*3) = 1292/243 = 5. 77/243
1) 5 1/7 · 1 8/27 = 6 2/3
5 целых 1/7 = (5·7+1)/7 = 36/7
1 целая 8/27 = (1·27+8)/27 = 35/27
5 1/7 · 1 8/27 = 36/7 · 35/27 = (4·5)/(1·3) = 20/3 = 6 2/3
ответ: 6 целых 2/3.
2) 1 8/9 · 1 1/18 · 2 2/3 = 5 77/243
1 целая 8/9 = (1·9+8)/9 = 17/9
1 целая 1/18 = (1·18+1)/18 = 19/18
2 целых 2/3 = (2·3+2)/3 = 8/3
1) 1 8/9 · 1 1/18 = 17/9 · 19/18 = (17·19)/(9·18) = 323/162 = 1 161/162
2) 323/162 · 8/3 = (323·4)/(81·3) = 1292/243 = 5 77/243
ответ: 5 целых 77/243.
Пошаговое объяснение:
1)
5. 1/7 * 1. 8/27 = 36/7 * 35/27 = 4/1 * 5/3 = 20/3 =
6. 2/3
2)
1. 8/9 * 1. 1/18 * 2. 2/3 =
17/9 * 19/18 * 8/3 =
17/9 * 19/9 * 4/3 =
(17*19*4)/(9*9*3) = 1292/243 = 5. 77/243