Question

4 1/6 - (1 3/8 - x) ×3 = 5/11​

Answer 1

Ответ:

X=1.636

Пошаговое объяснение:

41.6-(13.8-x)•3=5.11

41.6-(41.4-3x)=5.11

41.6-41.4+3x=5.11

0.2+3x=5.11

3x=4.91

X=1.636

Answer 2

To solve the equation, let's first simplify the expression on the left-hand side and then solve for x.

Step 1: Convert mixed numbers to improper fractions. 4 1/6 = (4 * 6 + 1) / 6 = 25 / 6 1 3/8 = (1 * 8 + 3) / 8 = 11 / 8

Step 2: Substitute the values into the equation. 25/6 - (11/8 - x) * 3 = 5/11

Step 3: Distribute the multiplication on the left-hand side. 25/6 - 3 * (11/8 - x) = 5/11

Step 4: Simplify further. 25/6 - 33/8 + 3x = 5/11

Step 5: Find a common denominator, which is 24 (the least common multiple of 6 and 8). (25/6) * (4/4) - (33/8) * (3/3) + 3x = 5/11

Step 6: Continue simplifying. (100/24) - (99/24) + 3x = 5/11

Step 7: Combine like terms. (1/24) + 3x = 5/11

Step 8: Move the constant term to the right-hand side. 3x = 5/11 - 1/24

Step 9: Find a common denominator for the fractions on the right-hand side. 3x = (120/264) - (11/264)

Step 10: Combine like terms on the right-hand side. 3x = (120 - 11) / 264 3x = 109 / 264

Step 11: Solve for x. x = (109 / 264) * (1 / 3) x = 109 / (264 * 3) x = 109 / 792

So, the value of x that satisfies the equation is x = 109 / 792.