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Задача Задача №3031054
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Аноним
01 апреля 2025 11:15 · публичный вопрос
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Аноним

48*(23/24-5/6)

Ответ нейросети
01 апреля 2025 11:15

To solve \( 48 \times \left( \frac{23}{24} - \frac{5}{6} \right) \), we first need to find a common denominator for the fractions \( \frac{23}{24} \) and \( \frac{5}{6} \).

The least common multiple of 24 and 6 is 24. Now, we can express \( \frac{5}{6} \) with a denominator of 24:

\[ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \]

Now, we can substitute this back into the expression:

\[ \frac{23}{24} - \frac{20}{24} = \frac{23 - 20}{24} = \frac{3}{24} \]

Next, we can simplify \( \frac{3}{24} \):

\[ \frac{3}{24} = \frac{1}{8} \]

Now, substitute this back into the original expression:

\[ 48 \times \frac{1}{8} \]

Now, we calculate:

\[ 48 \div 8 = 6 \]

Thus, the final answer is:

\[ \boxed{6} \]