To solve this equation, we need to first simplify the left side of the equation by combining like terms:
(х - 5 1/2) + 7 5/18 = 9 4/9
First, convert 7 5/18 to an improper fraction:
7 5/18 = (7 * 18 + 5) / 18 = 131/18
Now the equation becomes:
(х - 11/2) + 131/18 = 85/9
Next, find a common denominator to combine the fractions:
Multiply 9 by 18 to get a common denominator of 162:
18(х - 11/2) + 9(131/18) = 9(85/9)
Now, rewrite the equation with the common denominator:
18x - 99 + 131 = 170
Combine like terms:
18x + 32 = 170
Subtract 32 from both sides:
18x = 138
Divide by 18 to solve for x:
x = 138/18
x = 23/3
Therefore, the solution to the equation is x = 23/3.
To solve this equation, we need to first simplify the left side of the equation by combining like terms:
(х - 5 1/2) + 7 5/18 = 9 4/9
First, convert 7 5/18 to an improper fraction:
7 5/18 = (7 * 18 + 5) / 18 = 131/18
Now the equation becomes:
(х - 11/2) + 131/18 = 85/9
Next, find a common denominator to combine the fractions:
Multiply 9 by 18 to get a common denominator of 162:
18(х - 11/2) + 9(131/18) = 9(85/9)
Now, rewrite the equation with the common denominator:
18x - 99 + 131 = 170
Combine like terms:
18x + 32 = 170
Subtract 32 from both sides:
18x = 138
Divide by 18 to solve for x:
x = 138/18
x = 23/3
Therefore, the solution to the equation is x = 23/3.