Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1811515
А
Аноним
11 октября 2024 07:43 · публичный вопрос
А
Аноним

-3,6+81:(-9)*1 1/18

Ответ нейросети
11 октября 2024 07:43

Let's simplify the expression step by step:

The expression given is:

\(-3,6 + 81 : (-9) * 1 \frac{1}{18}\)

First, translate the expression into mathematical notation:

  1. Replace the comma with a decimal point (assuming -3.6).
  2. Note that "1 1/18" is a mixed number, which can be converted to an improper fraction: \(1 \frac{1}{18} = \frac{19}{18}\).
  3. Rewrite the expression:

\(-3.6 + \frac{81}{-9} \cdot 1 \frac{1}{18} = -3.6 + \frac{81}{-9} \cdot \frac{19}{18}\)

Now proceed with the calculations:

  1. Calculate \( \frac{81}{-9} = -9\).

  2. Multiply by \(\frac{19}{18}\):

    \(-9 \cdot \frac{19}{18} = \frac{-171}{18}\).

Now simplify \(\frac{-171}{18}\):

\(\frac{-171}{18} = -\frac{171/9}{18/9} = -\frac{19}{2}\).

Next, add -3.6 (or -\frac{36}{10} = -\frac{18}{5}) to the result:

To combine these fractions,

  • Convert \(-3.6\) to a fraction with a denominator of \(18\):

    \(-3.6 = -\frac{36}{10} = -\frac{108}{30} = -\frac{162}{90} = -\frac{54}{18}\).

Now you have:

\(-\frac{54}{18} - \frac{171}{18} = -\frac{225}{18}\).

Finally, divide both the numerator and the denominator by 9:

\(-\frac{25}{2}\).

Therefore, the final simplified answer is:

\(-12.5\) or \(-\frac{25}{2}\).