solve the equation x + 2 1/3 = 5 2/3 using inverse operations

Answer 1

To solve the equation x + 2 1/3 = 5 2/3 using inverse operations, you want to isolate the variable x on one side of the equation.

First, you want to get rid of the fraction terms. To do this, you can convert the mixed numbers to improper fractions.

2 1/3 can be written as 7/3.

5 2/3 can be written as 17/3.

So, the equation becomes x + 7/3 = 17/3.

Next, you want to get rid of the constant term on the left side of the equation. To do this, you can subtract 7/3 from both sides of the equation.

(x + 7/3) - 7/3 = (17/3) - (7/3)

This simplifies to x = 10/3.

So, the solution to the equation x + 2 1/3 = 5 2/3 is x = 10/3.