Now, we need to find a common denominator for the fractions on both sides. The least common multiple of 11 and 77 is 77, so we can rewrite the equation as:
(28 7 - 4x 7 + 9) / 77 = 250
Now simplify the left side:
(196 - 28x + 9) / 77 = 250
Combine like terms:
(205 - 28x) / 77 = 250
Now, we can cross multiply:
205 - 28x = 250 * 77
205 - 28x = 19250
To solve for x, subtract 205 from both sides:
-28x = 19045
x = -19045 / -28
x ≈ 680.89
Therefore, the value of x is approximately 680.89.
To solve this equation, we first need to simplify both sides of the equation.
On the left side:
7 3/22 - x = 7 66/22 - x = 7 3 - x
So, we have:
(7 3-x) + 4 9/44 = 4 * (7 3-x) + 9/11 = 28 - 4x + 9/11
On the right side:
9 8/33 - 4 2/77 = 9 254/77 - 4/77 = 9 250/77
So, the equation becomes:
28 - 4x + 9/11 = 9 250/77
Now, we need to find a common denominator for the fractions on both sides. The least common multiple of 11 and 77 is 77, so we can rewrite the equation as:
(28 7 - 4x 7 + 9) / 77 = 250
Now simplify the left side:
(196 - 28x + 9) / 77 = 250
Combine like terms:
(205 - 28x) / 77 = 250
Now, we can cross multiply:
205 - 28x = 250 * 77
205 - 28x = 19250
To solve for x, subtract 205 from both sides:
-28x = 19045
x = -19045 / -28
x ≈ 680.89
Therefore, the value of x is approximately 680.89.