Вопрос задан 15.11.2023 в 16:20. Предмет Математика. Спрашивает Никулин Иван.

6 1/4 * (-8)+3 2/3: (-5,5)-(-2,4*4 7/12) будь-ласка виконайте по діях !

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Отвечает Іванюк Святик.

Пошаговое объяснение:

6 1/4×(-8)+3 2/3:(-5,5)-(-2,4×4 7/12)=

= - 25/4×8-11/3:5 1/2+2 2/5×55/12=

= - 50-11/3:11/2+12/5×55/12=

= - 50-11/3×2/11+11= - 50-2/3+11= - 39 2/3

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

To solve the expression 6 1/4 * (-8) + 3 + 2/3 - (-5.5) - (-2.4 * 4 + 7/12), let's break it down step by step:

Step 1: Multiply 6 1/4 by -8 To multiply a mixed number by a whole number, we first convert the mixed number to an improper fraction. 6 1/4 can be written as 25/4. So, we have: 25/4 * (-8)

To multiply fractions, we multiply the numerators and denominators separately. So, we have: (25 * -8) / (4 * 1)

Multiplying the numerators and denominators, we get: -200 / 4

Simplifying the fraction, we have: -50

Step 2: Add 3 to -50 -50 + 3 = -47

Step 3: Add 2/3 to -47 To add fractions, we need to have a common denominator. The common denominator for 3 and 2/3 is 3. So, we have: -47 + (2/3)

To add fractions with the same denominator, we add the numerators and keep the denominator the same. So, we have: (-47 * 3 + 2) / 3

Simplifying the numerator, we get: (-141 + 2) / 3

Simplifying further, we have: -139 / 3

Step 4: Subtract -5.5 from -139/3 To subtract a number, we can rewrite it as adding its opposite. So, we have: (-139/3) + 5.5

To add fractions, we need a common denominator. The common denominator for 3 and 2 is 6. So, we have: (-139/3) + (5.5 * 6/6)

Simplifying the numerator, we get: (-139 + 33) / 3

Simplifying further, we have: -106 / 3

Step 5: Subtract -2.4 * 4 + 7/12 from -106/3 To subtract a number, we can rewrite it as adding its opposite. So, we have: (-106/3) + (-(2.4 * 4 + 7/12))

To simplify the expression -(2.4 * 4 + 7/12), we first calculate 2.4 * 4 and then add 7/12. Using a calculator, we find that 2.4 * 4 is 9.6. So, we have: (-106/3) + (-(9.6 + 7/12))

To add fractions, we need a common denominator. The common denominator for 3 and 12 is 12. So, we have: (-106/3) + (-(9.6 * 12/12 + 7/12))

Simplifying the numerator, we get: (-106 + (-115.2 + 7)) / 3

Simplifying further, we have: (-106 + (-108.2)) / 3

Simplifying the numerator, we get: -214.2 / 3

Step 6: Simplify -214.2 / 3 To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. So, we have: -214.2 * (1/3)

Multiplying the numbers, we get: -214.2 / 3

Simplifying the fraction, we have: -71.4

Therefore, the value of the expression 6 1/4 * (-8) + 3 + 2/3 - (-5.5) - (-2.4 * 4 + 7/12) is -71.4.

Please note that the calculations were done using the given expression and may not reflect the exact values due to rounding errors.

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