Simplifying the Expression: 5/3(4/3a+9b+2/3a)
When dealing with algebraic expressions, simplification is an essential step to make the expression more manageable and easier to understand. In this article, we will simplify the expression 5/3(4/3a+9b+2/3a) and arrive at its simplest form.
Step 1: Distribute the Fraction
To simplify the expression, we need to distribute the fraction 5/3 to the terms inside the parentheses. This will give us:
(5/3)(4/3a) + (5/3)(9b) + (5/3)(2/3a)
Step 2: Multiply the Fractions
Now, we need to multiply the fractions:
(20/9)a + (45/3)b + (10/9)a
Step 3: Combine Like Terms
Notice that we have two terms with the variable 'a'. We can combine them:
(30/9)a + (45/3)b
Step 4: Simplify the Fractions
Finally, we can simplify the fractions:
10/3a + 15b
And that's it! We have successfully simplified the expression 5/3(4/3a+9b+2/3a) to 10/3a + 15b.
