Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №356863
А
Аноним
10 февраля 2024 11:27 · публичный вопрос
А
Аноним

7 7/30-(5 11/30-y) =3 19/30

Нейросеть10 февраля 2024 11:27

(7 7/30) - (5 11/30 - y) = 3 19/30

Let's simplify this equation step by step. First, let's convert the mixed numbers into improper fractions:

(7 + 7/30) - (5 + 11/30 - y) = 3 + 19/30

Next, let's add the whole numbers and fractions separately:

(7/1 + 7/30) - (5/1 + 11/30 - y) = (3/1 + 19/30)

Now, let's calculate each part:

(7/1 + 7/30) = (210/30 + 7/30) = 217/30

(5/1 + 11/30 - y) = (150/30 + 11/30 - y) = (161/30 - y)

(3/1 + 19/30) = (90/30 + 19/30) = 109/30

Plugging these values back into the equation, we get:

217/30 - (161/30 - y) = 109/30

Let's simplify further:

217/30 - 161/30 + y = 109/30

Combining like terms:

56/30 + y = 109/30

Next, let's isolate 'y' by subtracting 56/30 from both sides:

y = 109/30 - 56/30

Simplifying:

y = 53/30

Therefore, the solution is y = 53/30.

Ответ: y = 53/30.

7 7/30-(5 11/30-y) =3 19/30
(7 7/30) - (5 11/30 - y) = 3 19/30 Let's simplify this equation step by step. First, let's convert the mixed numbers into improper fractions: (7 + 7/30) - (5 + 11/30 - y) = 3 + 19/30 Next, let's add the whole numbers and fractions separately: (7/1 + 7/30) - (5/1 + 11/30 - y) = (3/1 + 19/30) Now, let's calculate each part: (7/1 + 7/30) = (210/30 + 7/30) = 217/30 (5/1 + 11/30 - y) = (150/30 + 11/30 - y) = (161/30 - y) (3/1 + 19/30) = (90/30 + 19/30) = 109/30 Plugging these values back into the equation, we get: 217/30 - (161/30 - y) = 109/30 Let's simplify further: 217/30 - 161/30 + y = 109/30 Combining like terms: 56/30 + y = 109/30 Next, let's isolate 'y' by subtracting 56/30 from both sides: y = 109/30 - 56/30 Simplifying: y = 53/30 Therefore, the solution is y = 53/30. Ответ: y = 53/30.