Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2911544
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Аноним
07 марта 2025 06:15 · публичный вопрос
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Аноним

-3/5-33/20

Ответ нейросети
07 марта 2025 06:15

To solve \(-\frac{3}{5} - \frac{33}{20}\), we first need to have a common denominator.

The denominators are 5 and 20. The least common denominator (LCD) is 20.

Now, convert \(-\frac{3}{5}\) to a fraction with a denominator of 20:

\[ -\frac{3}{5} = -\frac{3 \times 4}{5 \times 4} = -\frac{12}{20} \]

Now, we can rewrite the expression:

\[ -\frac{12}{20} - \frac{33}{20} \]

Since both fractions have the same denominator, we can combine them:

\[ -\frac{12 + 33}{20} = -\frac{45}{20} \]

Now, we can simplify \(-\frac{45}{20}\) by dividing the numerator and the denominator by their greatest common divisor, which is 5:

\[ -\frac{45 \div 5}{20 \div 5} = -\frac{9}{4} \]

So, the final answer is:

\[ -\frac{9}{4} \]