Question

(2,04:1/25 - 36,1 :19/20)*5/13-0,6:0, 9

Answer 1

Сначала решаем то что в скобках, потом умножение/деление и потом вычитание.

$(2,04:\frac{1}{25} - 36,1:\frac{19}{20}) * \frac{5}{13} - 0,6:0,9 = 4\frac{1}{3}$

1) 2,04:0,04 = 51

2) $\frac{361}{10} * \frac{20}{19} = \frac{38}{1} = 38$

3) 51-38 = 13

4) $13 * \frac{5}{13} = 5$

5) $\frac{6}{10} * \frac{10}{9} = \frac{2}{3}$

6) $4\frac{3}{3} - \frac{2}{3} = 4\frac{1}{3}$

Answer 2

To simplify the expression (2,04:1/25 - 36,1 :19/20) * (5/13 - 0,6:0,9), we 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. Start with the division inside each set of parentheses:
   • 2,04 ÷ (1/25) = 2.04 * (25/1) = 2.04 * 25 = 51.
   • 36.1 ÷ (19/20) = 36.1 * (20/19) ≈ 38.0526 (rounded to 4 decimal places).

So, the expression becomes: (51 - 38.0526) * (5/13 - 0.6 ÷ 0.9).

2. Perform the subtraction inside the first set of parentheses:
   • 51 - 38.0526 ≈ 12.9474 (rounded to 4 decimal places).

So, the expression becomes: (12.9474) * (5/13 - 0.6 ÷ 0.9).

3. Perform the division inside the second set of parentheses:
   • 0.6 ÷ 0.9 = 0.6667 (rounded to 4 decimal places).

So, the expression becomes: (12.9474) * (5/13 - 0.6667).

4. Perform the subtraction inside the second set of parentheses:
   • 5/13 - 0.6667 ≈ -0.1103 (rounded to 4 decimal places).

Now, the expression becomes: (12.9474) * (-0.1103).

5. Finally, perform the multiplication:
   • 12.9474 * (-0.1103) ≈ -1.4283 (rounded to 4 decimal places).

So, the simplified value of the expression is approximately -1.4283.