Question

(7,25-2 3/4):3/5-(3 3/8+1/4)*(-12/29)

Answer 1

Ответ:

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Объяснение:

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Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

1. First, calculate within the parentheses/brackets: 25 - 2 3/4 = 25 - (2 + 3/4) = 25 - (8/4 + 3/4) = 25 - 11/4

2. Now, simplify this result: 25 - 11/4 = (25 * 4/4) - 11/4 = 100/4 - 11/4 = 89/4

3. Next, calculate within the other set of parentheses/brackets: 3 3/8 + 1/4 = (3 + 3/8) + 1/4 = (24/8 + 3/8) + 1/4 = 27/8 + 1/4

4. Simplify this result: 27/8 + 1/4 = (27/8 * 2/2) + 2/8 = 54/16 + 2/8 = (54 + 4) / 16 = 58/16 = 29/8

5. Now, let's perform the multiplications and divisions: (7,25-11/4) / (3/5 - 29/8 * (-12/29))

6. Simplify the denominator: 3/5 - 29/8 * (-12/29) = 3/5 + (29/8 * 12/29) = 3/5 + (3/2) = 3/5 + 1.5 = 3/5 + 3/2

7. Find a common denominator: To add 3/5 and 3/2, we need a common denominator, which is 10. So, convert both fractions to have a denominator of 10: 3/5 * 2/2 = 6/10 3/2 * 5/5 = 15/10

8. Now, add the fractions: 6/10 + 15/10 = 21/10

9. Finally, substitute these values back into the original expression: (7,25-11/4) / (21/10)

10. Perform the division: (89/4) / (21/10)

11. Invert and multiply: (89/4) * (10/21)

12. Simplify the result: (89 * 10) / (4 * 21) = 890 / 84

13. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: (890/2) / (84/2) = 445/42

So, the final result is: 445/42