.jpeg "10(2/5+3y)")
Simplifying Algebraic Expressions: 10(2/5 + 3y)
In algebra, simplifying expressions is an essential skill to master. In this article, we will explore how to simplify the expression 10(2/5 + 3y).
Breaking Down the Expression
Let's break down the given expression:
10(2/5 + 3y)
This expression consists of three parts:
10: a coefficient2/5: a fraction3y: a term with a variabley
Simplifying the Expression
To simplify the expression, we need to follow the order of operations (PEMDAS):
- Distribute the 10: Multiply the coefficient
10to the terms inside the parentheses:
10(2/5) + 10(3y)
2 10/5 + 30y
Now, let's simplify each term:
Simplifying the Fraction
10/5 can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 5:
10/5 = 2
So, the simplified expression becomes:
2 + 30y
The Final Simplified Expression
And that's it! The simplified expression is:
2 + 30y
By following the order of operations and simplifying each term, we have successfully simplified the original expression 10(2/5 + 3y).
Conclusion
In this article, we have demonstrated how to simplify the algebraic expression 10(2/5 + 3y). By breaking down the expression, distributing the coefficient, and simplifying each term, we arrived at the simplified expression 2 + 30y. This skill is essential in algebra and will be useful in solving more complex problems.
