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Задача Задача №1624162
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25 сентября 2024 14:32 · публичный вопрос
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1 1 -m + - n если m =35,n=-18 5 3

Нейросеть25 сентября 2024 14:32

Let's evaluate the expression step by step with the given values \( m = 35 \) and \( n = -18 \).

The expression is:

\[ \frac{1}{5} - \frac{m}{3} - \frac{n}{3} \]

Substituting the values of \( m \) and \( n \):

  1. Calculate \(-\frac{m}{3}\): \[ -\frac{35}{3} = -\frac{35}{3} \]

  2. Calculate \(-\frac{n}{3}\): \[ -\frac{-18}{3} = \frac{18}{3} = 6 \]

Now, substitute these values back into the expression:

\[ \frac{1}{5} - \frac{35}{3} + 6 \]

  1. Combine \( 6 \) and \( -\frac{35}{3} \): Convert \( 6 \) to a fraction with a common denominator of 3: \[ 6 = \frac{18}{3} \] Therefore: \[ -\frac{35}{3} + \frac{18}{3} = -\frac{35 - 18}{3} = -\frac{17}{3} \]

  2. Now, combine that with \( \frac{1}{5} \): We need a common denominator for \( \frac{1}{5} \) and \( -\frac{17}{3} \). The least common multiple of 5 and 3 is 15.

Convert each fraction: \[ \frac{1}{5} = \frac{3}{15} \]

\[ -\frac{17}{3} = -\frac{85}{15} \]

Now, add these together: \[ \frac{3}{15} - \frac{85}{15} = \frac{3 - 85}{15} = \frac{-82}{15} \]

So, the final result is: \[ \frac{-82}{15} \]

1 1 -m + - n если m =35,n=-18 5 3
Let's evaluate the expression step by step with the given values \( m = 35 \) and \( n = -18 \). The expression is: \[ \frac{1}{5} - \frac{m}{3} - \frac{n}{3} \] Substituting the values of \( m \) and \( n \): 1. Calculate \(-\frac{m}{3}\): \[ -\frac{35}{3} = -\frac{35}{3} \] 2. Calculate \(-\frac{n}{3}\): \[ -\frac{-18}{3} = \frac{18}{3} = 6 \] Now, substitute these values back into the expression: \[ \frac{1}{5} - \frac{35}{3} + 6 \] 3. Combine \( 6 \) and \( -\frac{35}{3} \): Convert \( 6 \) to a fraction with a common denominator of 3: \[ 6 = \frac{18}{3} \] Therefore: \[ -\frac{35}{3} + \frac{18}{3} = -\frac{35 - 18}{3} = -\frac{17}{3} \] 4. Now, combine that with \( \frac{1}{5} \): We need a common denominator for \( \frac{1}{5} \) and \( -\frac{17}{3} \). The least common multiple of 5 and 3 is 15. Convert each fraction: \[ \frac{1}{5} = \frac{3}{15} \] \[ -\frac{17}{3} = -\frac{85}{15} \] Now, add these together: \[ \frac{3}{15} - \frac{85}{15} = \frac{3 - 85}{15} = \frac{-82}{15} \] So, the final result is: \[ \frac{-82}{15} \]