Simplifying the Expression: 5/8x + 1/2(1/4x + 10)
When working with algebraic expressions, it's essential to simplify them to make them easier to work with. In this article, we'll explore how to simplify the expression 5/8x + 1/2(1/4x + 10) to its simplest form.
Step 1: Expand the Parentheses
To begin, let's expand the parentheses in the expression:
5/8x + 1/2(1/4x + 10) = 5/8x + 1/2 * 1/4x + 1/2 * 10
Step 2: Simplify the Fractions
Next, let's simplify the fractions by multiplying the numerators and denominators:
5/8x + 1/2 * 1/4x = 5/8x + 1/8x
Step 3: Combine Like Terms
Now, let's combine the like terms:
5/8x + 1/8x = 6/8x
Step 4: Simplify the Remaining Expression
Simplify the remaining expression:
1/2 * 10 = 5
Step 5: Combine the Results
Finally, let's combine the results:
6/8x + 5
The Simplified Expression
The simplified expression is:
6/8x + 5
Or, if we want to simplify it further:
3/4x + 5
And that's it! We've successfully simplified the expression 5/8x + 1/2(1/4x + 10) to its simplest form.
