Найдите значение выражения (4/15)² – 13/36.

Источник: Ященко ОГЭ 2025 (36 вар.)

Решение:

(4/15)² – 13/36 = 4 ⋅ 4 / 15 ⋅ 15 – 13/36 = 16 / 3 ⋅ 5 ⋅ 3 ⋅ 5 – 13 / 2 ⋅ 3 ⋅ 2 ⋅ 3 = 16 ⋅ 2 ⋅ 2 – 13 ⋅ 5 ⋅ 5 / 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 5 = 64 – 325 / 900 = -261 / 900 = -29 / 100 = -0,29

Ответ: -0,29