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Задача Задача №2162821
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Аноним
10 ноября 2024 10:12 · публичный вопрос
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Аноним

225 - 4•10•(-3 2/5)

Ответ нейросети
10 ноября 2024 10:12

To solve the expression \( 225 - 4 \cdot 10 \cdot (-3 \frac{2}{5}) \), we will first convert the mixed number into an improper fraction.

The mixed number \(-3 \frac{2}{5}\) can be converted as follows:

\[ -3 \frac{2}{5} = -\left(3 \cdot 5 + 2\right)/5 = -\frac{15 + 2}{5} = -\frac{17}{5} \]

Now substitute this back into the expression:

\[ 225 - 4 \cdot 10 \cdot \left(-\frac{17}{5}\right) \]

Calculating \(4 \cdot 10\):

\[ 4 \cdot 10 = 40 \]

Now, substitute this back:

\[ 225 - 40 \cdot \left(-\frac{17}{5}\right) \]

Calculate \(40 \cdot -\frac{17}{5}\):

\[ 40 \cdot -\frac{17}{5} = -\frac{40 \cdot 17}{5} = -\frac{680}{5} = -136 \]

Now substitute this back into the expression:

\[ 225 - (-136) = 225 + 136 \]

Now, perform the addition:

\[ 225 + 136 = 361 \]

Therefore, the final answer is:

\[ \boxed{361} \]