Simplifying Algebraic Expressions: 4x/xy + 12xy/xy - 6y/xy
In this article, we will learn how to simplify the algebraic expression 4x/xy + 12xy/xy - 6y/xy.
Step 1: Simplify the Individual Terms
Let's start by simplifying each term individually:
- 4x/xy: We can cancel out the x in the numerator and denominator, leaving us with 4/y
- 12xy/xy: We can cancel out the xy in the numerator and denominator, leaving us with 12
- 6y/xy: We can cancel out the y in the numerator and denominator, leaving us with 6/x
Step 2: Combine Like Terms
Now that we have simplified each term, we can combine like terms:
- 4/y + 12 - 6/x
Simplified Expression
The simplified expression is:
4/y + 12 - 6/x
This expression is now simplified and easier to work with.
Conclusion
Simplifying algebraic expressions may seem daunting at first, but by following these steps, we can simplify even the most complex expressions. Remember to cancel out like terms and combine them to get the simplified expression.
