Найдите значение выражения 7/18 + (4/15)2.
Источник: Ященко ОГЭ 2025 (36 вар.)
Решение:
7/18 + (4/15)2 = 7/18 + 4 ⋅ 4 / 15 ⋅ 15 = 7 / 2 ⋅ 3 ⋅ 3 + 16 / 3 ⋅ 5 ⋅ 3 ⋅ 5 = 7 ⋅ 5 ⋅ 5 + 16 ⋅ 2 / 2 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 5 = 175 + 32 / 450 = 207 / 450 = 23 / 50 = 0,46
Ответ: 0,46