Найдите значение выражения 2 2/5 : (9/10 – 1 5/14)

Источник : Ященко ЕГЭ База 2023 (30 вариантов)

2 2/5 : (9/10 – 1 5/14) =

1) 9/10 – 1 5/14 = 9/10 – 1 ⋅ 14 + 5 / 14 = 9/10 – 19/14 = 9 ⋅ 7 – 19 ⋅ 5 / 70 = 63 – 95 / 70 = -32 / 70 = – 16/35

2) 2 2/5 : (-16/35) = – 2 ⋅ 5 + 2 / 5 ⋅ 35/16 = -12/5 ⋅ 35/16 = -12 ⋅ 35 / 5 ⋅ 16 = -6 ⋅ 7 / 1 ⋅ 8 = -42 / 8 = – 21 / 4 = -5 1/4 = -5,25