Simplifying 3/2x
In algebra, simplifying expressions is an essential skill to master. One common expression that requires simplification is 3/2x. In this article, we will explore how to simplify this expression step-by-step.
What is 3/2x?
The expression 3/2x can be intimidating at first, but let's break it down. We have a fraction, 3/2, multiplied by a variable, x.
How to Simplify 3/2x?
To simplify 3/2x, we need to follow the order of operations (PEMDAS):
- Simplify the fraction: 3/2 is a fraction, so we can simplify it by dividing the numerator (3) by the denominator (2). This gives us 1.5.
3/2 = 1.5
Now, we have:
1.5x
That's it! We have successfully simplified 3/2x to 1.5x.
Why Simplify Expressions?
Simplifying expressions like 3/2x is important because it helps us to:
- Reduce complexity: Simplifying expressions makes them easier to understand and work with.
- Solve equations: Simplified expressions are often necessary to solve equations and inequalities.
- Make calculations easier: Simplified expressions typically involve fewer calculations, making it easier to perform arithmetic operations.
Conclusion
In conclusion, simplifying 3/2x is a straightforward process that involves simplifying the fraction and multiplying it by the variable x. By following these steps, we can simplify the expression to 1.5x. Remember, simplifying expressions is a crucial skill in algebra, and mastering it will help you to tackle more complex math problems with confidence.