Найдите значение выражения 2/ 1/24 + 1/56.
Источник: Ященко ОГЭ 2025 (36 вар.)
Решение:
2/ 1/24 + 1/56 = 2 / 1 / 3 ⋅ 8 + 1 / 7 ⋅ 8 = 2 / 1 ⋅ 7 + 1 ⋅ 3 / 3 ⋅ 7 ⋅ 8 = 2 / 10 / 3 ⋅ 7 ⋅ 8 = 2 / 5 / 3 ⋅ 7 ⋅ 4 = 2 : 5 / 3 ⋅ 7 ⋅ 4 = 2 ⋅ 3 ⋅ 7 ⋅ 4 / 5 = 168 / 5 = 33,6
Ответ: 33,6