Question

(8 11/15-7 4/25)*25/59+2/11:4/33 /-дробь Срочно подробно с объяснениями по действиям

Answer 1

(8¹¹/₁₅-7⁴/₂₅)*(25/59)+(2/11):(4/33).
1) 8¹¹/₁₅-7⁴/₂₅=131/15-179/25=(131*5-179*3)/75=(655-537)/75=118/75.
2) (118/75)*(25/59)=118*25/(75*59)=2/3.
3)(2/11):(4/33)=2*33/(11*4)=3/2.
4) 3/2+2/3=(3*3+2*2)/6=(9+4)/6=13/6=2¹/₆.

Answer 2

0,0045789170596567 прости если неправильно

Answer 3

Calculation Explanation

To solve the given expression, we'll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to ensure the correct sequence of calculations.

1. Convert Mixed Numbers to Improper Fractions: - \(8 \frac{11}{15}\) can be written as \(\frac{8 \times 15 + 11}{15} = \frac{121}{15}\) - \(7 \frac{4}{25}\) can be written as \(\frac{7 \times 25 + 4}{25} = \frac{179}{25}\)

2. Perform the Operations: - The given expression is \((\frac{121}{15} - \frac{179}{25}) \times \frac{25}{59} + \frac{2}{11} : \frac{4}{33}\)

3. Substitute the Values: - \((\frac{121}{15} - \frac{179}{25}) \times \frac{25}{59} + \frac{2}{11} : \frac{4}{33}\) - \((\frac{121}{15} - \frac{179}{25}) \times \frac{25}{59} + \frac{2}{11} \times \frac{33}{4}\)

4. Calculate the Subtractions: - \((\frac{121 \times 25 - 179 \times 15}{15 \times 25}) \times \frac{25}{59} + \frac{2 \times 33}{11 \times 4}\)

5. Perform the Multiplications: - \((\frac{3025 - 2685}{375}) \times \frac{25}{59} + \frac{66}{44}\)

6. Perform the Subtractions: - \(\frac{340}{375} \times \frac{25}{59} + \frac{66}{44}\)

7. Simplify the Fractions: - \(\frac{68}{75} \times \frac{25}{59} + \frac{3}{2}\)

8. Perform the Multiplications: - \(\frac{1700}{1775} + \frac{3}{2}\)

9. Find a Common Denominator: - \(\frac{1700 \times 2}{1775 \times 2} + \frac{3 \times 1775}{2 \times 1775}\)

10. Add the Fractions: - \(\frac{3400}{3550} + \frac{5325}{3550}\)

11. Add the Numerators: - \(\frac{3400 + 5325}{3550}\)

12. Final Calculation: - \(\frac{8725}{3550} = 2.4577\)

Therefore, the value of the given expression is approximately 2.4577.