Question

Знайти значення виразу: - 3 3/4 - (- 8 2/9 - (- 4, 5) / (9/14)) * 2 1/4 /-дробь​

Answer 1

Ответ:

Пошаговое объяснение:

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Answer 2

I can help you with math problems. Here is the detailed solution to your question:

The given expression is:

$$- 3 \frac{3}{4} - (- 8 \frac{2}{9} - (- 4,5) / (\frac{9}{14})) * 2 \frac{1}{4}$$

First, we simplify the fractions by converting them to improper fractions:

$$- \frac{15}{4} - (- \frac{74}{9} - (- \frac{9}{2}) / (\frac{9}{14})) * \frac{9}{4}$$

Next, we perform the division inside the parentheses by multiplying the numerator and denominator by the reciprocal of the divisor:

$$- \frac{15}{4} - (- \frac{74}{9} - (- \frac{9}{2}) * (\frac{14}{9})) * \frac{9}{4}$$

Then, we simplify the multiplication inside the parentheses by canceling out the common factors:

$$- \frac{15}{4} - (- \frac{74}{9} - (- \frac{9}{2}) * (\frac{7}{3})) * \frac{9}{4}$$

Next, we perform the multiplication inside the parentheses by multiplying the numerators and denominators:

$$- \frac{15}{4} - (- \frac{74}{9} - (- \frac{63}{6})) * \frac{9}{4}$$

Then, we simplify the fractions inside the parentheses by reducing them to the lowest terms:

$$- \frac{15}{4} - (- \frac{74}{9} - (- \frac{21}{2})) * \frac{9}{4}$$

Next, we perform the addition and subtraction inside the parentheses by finding the common denominator and adding or subtracting the numerators:

$$- \frac{15}{4} - (- \frac{148}{18} + \frac{189}{18}) * \frac{9}{4}$$

$$- \frac{15}{4} - (\frac{41}{18}) * \frac{9}{4}$$

Then, we perform the multiplication outside the parentheses by multiplying the numerators and denominators:

$$- \frac{15}{4} - \frac{369}{72}$$

Next, we perform the subtraction by finding the common denominator and subtracting the numerators:

$$- \frac{270}{72} - \frac{369}{72}$$

$$- \frac{639}{72}$$

Finally, we simplify the fraction by dividing the numerator and denominator by the greatest common factor:

$$- \frac{213}{24}$$

Therefore, the value of the expression is:

$$- \frac{213}{24}$$

I hope this helps you understand the solution. If you have any other math questions, feel free to ask me.Ответь+подробно.++Знайти+значення+виразу:+-+3+3/4+-+(-+8+2/9+-+(-+4,+5)+/+(9/14))+*+2+1/4+/-дробь​+