Question

5/9x минус 2 целых 1/3 14/39 : x = 21/521 целая 7/16 : (3 целых 3/4 минус 1 целая 5/6 )30 минус( вторые скобки ( 4 целых 3/4 минус 2 целых 1/2 ) : 1/8 + 5 целых 3/7 ) = 1/9x+7/18x--13/27x= 1 целая 5/6

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the given expression, let's perform the calculations step by step:

1. Evaluate the left-hand side of the equation: 5/9x - (2 1/3) + 14/39 : x = 21/521 + 7/16 : (3 3/4 - 1 5/6) * 30 - ((4 3/4 - 2 1/2) : 1/8 + 5 3/7)

2. Convert mixed numbers to improper fractions: 2 1/3 = 7/3 3 3/4 = 15/4 1 5/6 = 11/6 4 3/4 = 19/4 2 1/2 = 5/2 5 3/7 = 38/7

3. Rewrite the expression: 5/9x - 7/3 + 14/39 : x = 21/521 + 7/16 : (15/4 - 11/6) * 30 - ((19/4 - 5/2) : 1/8 + 38/7)

4. Simplify the expressions inside the parentheses: 15/4 - 11/6 = (153 - 112) / (43) = (45 - 22) / 12 = 23/12 19/4 - 5/2 = (192 - 54) / (42) = (38 - 20) / 8 = 18/8 = 9/4

5. Rewrite the expression: 5/9x - 7/3 + 14/39 : x = 21/521 + 7/16 : (23/12) * 30 - (9/4 : 1/8 + 38/7)

6. Perform the multiplication and division operations: 14/39 : x = 21/521 + 7/16 : (23/12) * 30 - (9/4 : 1/8 + 38/7) 14/39 : x = 21/521 + 7/16 : 23/12 * 30 - (9/4 * 8/1 + 38/7) 14/39 : x = 21/521 + 7/16 : 23/12 * 30 - 18/1 + 38/7 14/39 : x = 21/521 + 7/16 : 23/12 * 30 + 38/7 - 18 14/39 : x = 21/521 + 7/16 : (235)/(125) * 30 + 38/7 - 18 14/39 : x = 21/521 + 7/16 : 115/60 * 30 + 38/7 - 18 14/39 : x = 21/521 + 7/16 : 115/2 + 38/7 - 18 14/39 : x = 21/521 + 7/16 : 115/2 + (388)/(78) - (1856)/(156) 14/39 : x = 21/521 + 7/16 : 115/2 + 304/56 - 1008/56 14/39 : x = 21/521 + 7/16 : 115/2 + (304 - 1008)/56 14/39 : x = 21/521 + 7/16 : 115/2 - 704/56 14/39 : x = 21/521 + 7/16 : (11528)/(228) - 704/56 14/39 : x = 21/521 + 7/16 : 3220/56 - 704/56 14/39 : x = 21/521 + 7/16 : (3220 - 704)/56 14/39 : x = 21/521 + 7/16 : 2516/56 14/39 : x = 21/521 + 7/16 : (25161)/(561) 14/39 : x = 21/521 + 7/16 : 2516/56 14/39 : x = 21/521 + (73)/(163) : 2516/56 14/39 : x = 21/521 + 21/48 : 2516/56 14/39 : x = (2148)/(52148) + 21/48 : 2516/56 14/39 : x = 1008/24928 + 21/48 : 2516/56 14/39 : x = (1008 + 21521)/(24928) : 2516/56 14/39 : x = 1008 + 10941/24928 : 2516/56 14/39 : x = (100824928 + 10941)/(24928) : 2516/56 14/39 : x = (25126016 + 10941)/(24928) : 2516/56 14/39 : x = 25136957/24928 : 2516/56

7. Perform the division: x = (25136957/24928) * (56/2516)

8. Simplify and multiply the fractions: x = (50273914/49957)

9. Convert the improper fraction to a mixed number: x = 1002 40003/49957

10. Now let's solve the equation: 1/9x + 7/18x - 13/27x = 1 5/6

11. Combine the x terms on the left-hand side: (1/9 + 7/18 - 13/27)x = 1 5/6

12. Find a common denominator for the fractions on the left-hand side: (2/18 + 7/18 - 6/18)x = 1 5/6

13. Combine the numerators and rewrite the equation: (3/18)x = 1 5/6

14. Simplify the fraction on the left-hand side: (1/6)x = 1 5/6

15. Multiply both sides by 6 to solve for x: x = (1 5/6) * 6

16. Convert the mixed number to an improper fraction and perform the multiplication: x = (11/6) * 6

17. Cancel out the common factor of 6: x = 11

So, the solution for x is 11.