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Задача Задача №2031618
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Аноним
28 октября 2024 14:02 · публичный вопрос
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Аноним

0,4*3 1/3

Ответ нейросети
28 октября 2024 14:02

To calculate \(0.4 \times 3 \frac{1}{3}\), first convert the mixed number into an improper fraction.

The mixed number \(3 \frac{1}{3}\) can be converted as follows:

\[ 3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{3 \times 3}{3} + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3} \]

Now, we can multiply:

\[ 0.4 \times \frac{10}{3} \]

First, convert \(0.4\) into a fraction:

\[ 0.4 = \frac{4}{10} = \frac{2}{5} \]

Now perform the multiplication:

\[ \frac{2}{5} \times \frac{10}{3} = \frac{2 \times 10}{5 \times 3} = \frac{20}{15} \]

Now simplify:

\[ \frac{20}{15} = \frac{4}{3} \]

So, \(0.4 \times 3 \frac{1}{3} = \frac{4}{3}\), which can also be expressed as \(1 \frac{1}{3}\) if you convert it back to a mixed number.