Question

(х-5 1/2)+7 5/18=9 4/9

Answer 1

Решение во вложении

Answer 2

X-(11/2)+(131/18)=(85/9)
x=(85/9)+(11/2)-(131/18)
x=(170+99-131)/18
x=(269-131)/18
x=138/18
x=7(2/3).

Answer 3

To solve the equation $(x - 5\frac{1}{2}) + 7\frac{5}{18} = 9\frac{4}{9},$ you can follow these steps:

1. Combine Like Terms: Combine the constant terms on both sides of the equation.

   $(x - 5\frac{1}{2}) + 7\frac{5}{18} = 9\frac{4}{9}$ $x - 5\frac{1}{2} + 7\frac{5}{18} = 9\frac{4}{9}$

2. Convert Mixed Numbers to Improper Fractions: Convert mixed numbers to improper fractions to make calculations easier.

   $x - \frac{11}{2} + \frac{133}{18} = \frac{82}{9}$

3. Find a Common Denominator: Find a common denominator for the fractions on the left side.

   The common denominator for 2 and 18 is 18. Rewrite $\frac{11}{2}$ with the denominator 18.

   $x - \frac{99}{18} + \frac{133}{18} = \frac{82}{9}$

4. Combine Fractions: Combine the fractions on the left side.

   $x - \frac{99 + 133}{18} = \frac{82}{9}$ $x - \frac{232}{18} = \frac{82}{9}$

5. Simplify: Simplify the expression by dividing both the numerator and denominator by their greatest common factor (2).

   $x - \frac{116}{9} = \frac{82}{9}$

6. Isolate x: Add $\frac{116}{9}$ to both sides to isolate $x$.

   $x = \frac{82}{9} + \frac{116}{9}$ $x = \frac{198}{9}$

7. Simplify the Result: Simplify the fraction if possible.

   $x = \frac{22}{1}$

So, the solution to the equation is $x = 22$.