Вопрос задан 21.09.2023 в 10:46. Предмет Математика. Спрашивает Пустовой Макс.

4 2/3 * 1 2/7= 5/8 * 4/5 = 9/25 * 2 1/7 * 1 5/9 =

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Отвечает Усачёва Лиза.

42/3*12/7=24

5/8*9/5=1/2

9/25*21/7=63/35

Удачи.

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Let's break down the calculation step by step:

  1. First, multiply the mixed numbers: 4 2/3 * 1 2/7

    To multiply mixed numbers, convert them to improper fractions and then multiply: (4 * 3 + 2) / 3 * (1 * 7 + 2) / 7

    (14/3) * (9/7)

  2. Multiply the fractions: (14/3) * (9/7)

    To multiply fractions, multiply the numerators together and the denominators together: (14 * 9) / (3 * 7)

    (126/21)

  3. Simplify the fraction: Divide both the numerator and denominator by their greatest common divisor, which is 3: (126 ÷ 3) / (21 ÷ 3)

    (42/7) = 6

So, 4 2/3 * 1 2/7 equals 6.

Now, let's continue with the next part of the calculation:

  1. Multiply 5/8 * 4/5

    To multiply fractions, multiply the numerators together and the denominators together: (5/8) * (4/5) = (5 * 4) / (8 * 5) = 20/40

  2. Simplify the fraction: Divide both the numerator and denominator by their greatest common divisor, which is 20: (20 ÷ 20) / (40 ÷ 20) = 1/2

So, 5/8 * 4/5 equals 1/2.

Now, let's move on to the final part of the calculation:

  1. Multiply 9/25 * 2 1/7 * 1 5/9

    First, convert the mixed numbers to improper fractions: 2 1/7 = (2 * 7 + 1) / 7 = 15/7 1 5/9 = (1 * 9 + 5) / 9 = 14/9

    Now, multiply the fractions: (9/25) * (15/7) * (14/9)

  2. Multiply the fractions together: (9/25) * (15/7) * (14/9)

    To multiply fractions, multiply the numerators together and the denominators together: (9 * 15 * 14) / (25 * 7 * 9)

  3. Simplify the fraction: Divide both the numerator and denominator by their greatest common divisor, which is 9: (9 ÷ 9) * (15 * 14) / (25 * 7 * 9)

    (1/1) * (15 * 14) / (25 * 7 * 1)

    (15 * 14) / (25 * 7)

  4. Further simplify the fraction: Divide both the numerator and denominator by their greatest common divisor, which is 7: (15 * 14) / (25 * 7)

    (15 * 2) / (25 * 1)

    (30/25)

  5. Simplify the fraction: Divide both the numerator and denominator by their greatest common divisor, which is 5: (30 ÷ 5) / (25 ÷ 5)

    (6/5)

So, 9/25 * 2 1/7 * 1 5/9 equals 6/5.

If you would like to perform any further calculations with these results or have any more questions, please feel free to ask.

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