(4/9x-5/3)+(5/9x+4/3)

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Jun 07, 2024

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Simplifying Algebraic Expressions: (4/9x-5/3) + (5/9x+4/3)

In this article, we will learn how to simplify the algebraic expression (4/9x-5/3) + (5/9x+4/3). Simplifying algebraic expressions is an essential skill in mathematics, and it requires a good understanding of the properties of operations and the rules of algebra.

Step 1: Combine Like Terms

To simplify the given expression, we need to combine like terms. Like terms are terms that have the same variable (in this case, x) and the same coefficient.

(4/9x-5/3) + (5/9x+4/3)

First, let's combine the terms with the variable x:

(4/9x + 5/9x) + (-5/3 + 4/3)

Step 2: Combine Coefficients

Now, let's combine the coefficients of the like terms:

(9/9x) + (-1/3 + 4/3)

Step 3: Simplify the Expression

Now, we can simplify the expression by combining the fractions:

(1x) + (1/3)

Final Answer

The simplified expression is:

x + 1/3

In conclusion, we have successfully simplified the algebraic expression (4/9x-5/3) + (5/9x+4/3) to x + 1/3.