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Задача Задача №3223878
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Аноним
17 мая 2025 01:08 · публичный вопрос
А
Аноним

(-1,56-1,24)•(-1 5/14)

Ответ нейросети
17 мая 2025 01:08

Let's evaluate the expression: \((-1, 56 - 1, 24) \times (-1 \, 5/14)\).

First, clarify the notation. It looks like you are using commas instead of decimal points or as thousand separators. Assuming the following:

  • The first pair: \((-1, 56 - 1, 24)\)

Could mean:

  • \(-1.56 - 1.24\) (if commas are decimal points)
  • Or \((-1, 56) - (1, 24)\) (if commas separate hundreds and units)

Given the context, I will assume they represent decimal numbers. So:

\[ (-1.56) - (1.24) \]

Now, let's compute:

\[ -1.56 - 1.24 = -2.80 \]

Next, the second term:

\(-1\, 5/14\)

which is a mixed number:

\[ -1\, \frac{5}{14} \]

Convert to an improper fraction:

\[ -1 \frac{5}{14} = - \left(1 + \frac{5}{14}\right) = - \frac{14}{14} - \frac{5}{14} = - \frac{19}{14} \]

Now, multiply:

\[ -2.80 \times - \frac{19}{14} \]

Recall that a negative times a negative is positive:

\[ 2.80 \times \frac{19}{14} \]

Convert 2.80 to a fraction:

\[ 2.80 = \frac{280}{100} = \frac{28}{10} = \frac{14}{5} \]

So:

\[ \frac{14}{5} \times \frac{19}{14} \]

Multiply numerators and denominators:

\[ \frac{14 \times 19}{5 \times 14} \]

The 14 factors cancel out:

\[ \frac{19}{5} \]

which equals:

\[ 3 \frac{4}{5} \]

or as a decimal:

\[ 3.8 \]

Final answer:

\[ \boxed{3 \frac{4}{5} \quad \text{or} \quad 3.8} \]