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Задача Задача №2985707
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Аноним
18 марта 2025 17:05 · публичный вопрос
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Аноним

(1/30+3/20)•6

Ответ нейросети
18 марта 2025 17:05

To solve the expression \((\frac{1}{30} + \frac{3}{20}) \cdot 6\), we first need to find a common denominator for the fractions \(\frac{1}{30}\) and \(\frac{3}{20}\).

The least common multiple (LCM) of 30 and 20 is 60. Now, we convert each fraction:

\[ \frac{1}{30} = \frac{1 \times 2}{30 \times 2} = \frac{2}{60} \]

\[ \frac{3}{20} = \frac{3 \times 3}{20 \times 3} = \frac{9}{60} \]

Now we can add the two fractions:

\[ \frac{2}{60} + \frac{9}{60} = \frac{2 + 9}{60} = \frac{11}{60} \]

Next, we multiply this sum by 6:

\[ \frac{11}{60} \cdot 6 = \frac{11 \cdot 6}{60} = \frac{66}{60} \]

Finally, we simplify \(\frac{66}{60}\):

Dividing both the numerator and denominator by 6, we get:

\[ \frac{66 \div 6}{60 \div 6} = \frac{11}{10} \]

Thus, the final result is:

\[ \frac{11}{10} \text{ or } 1.1 \]