Решить уравнение: 2 1/2+4 1/2 : (3 2/5 - 1 1/2 - вопрос №4176838212412325112416 от PashaVershinin 25.07.2021 08:17

Question

Математика: Решить уравнение: 2 1/2+4 1/2 : (3 2/5 - 1 1/2 : y) = 4 1/6

PashaVershinin · Answer

2 1/2 + 4 1/2 : (3 2/5 - 1 1/2 : у) = 4 1/6
7 : (3 2/5 - 1 1/2 : у) = 25/6
3 2/5 - 1 1/2 : у = 7 : 25/6 = 7 * 6/25 = 42/25 = 1 17/25
1 1/2 : у = 3 2/5 - 1 17/25 = 3 10/25 - 1 17/25 = 2 35/25 - 1 17/25 = 1 18/25
у = 1 1/2 : 1 18/25 = 3/2 : 43/25 = 3/2 * 25/43 = 75/86
у = 75/86

Проверка: 7 : (3 2/5 - 3/2 * 86/75) = 4 1/6
7 : (3 2/5 - 43/25) = 4 1/6
7 : 42/25 = 4 1/6
7 * 25/42 = 4 1/6
175/42 = 4 1/6
4 7/42 = 4 1/6