Question

Simplify each expression. $$ \frac{1}{5 x}+\frac{1}{10 x} $$

   Simplify each expression.
$$
\frac{1}{5 x}+\frac{1}{10 x}
$$

Algebra 2

Prentice Hall, Basia… 1st Edition

Chapter 10, Problem 58

Instant Answer

Solved by Expert Martha Richards

08/12/2019

Step 1

We can do this by multiplying the numerator and denominator of the first fraction by 2. This gives us: $$ \frac{2}{10 x}+\frac{1}{10 x} $$ Show more…

Show all steps

lock

Thanks for your feedback!

Simplify each expression. $$ \frac{1}{5 x}+\frac{1}{10 x} $$

Play audio

Feedback

Powered by NumerAI

Martha Richards and 60 other subject Precalculus educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Common Denominator

This concept involves rewriting fractions so that they share the same denominator, which is necessary for addition or subtraction. Using a common denominator allows the numerators to be combined directly, making further simplification easier.

Addition of Rational Expressions

Adding fractions that include algebraic expressions requires aligning them to a common denominator. Once the fractions share a common denominator, their numerators can be directly added or subtracted, resulting in a single rational expression.

Simplification of Fractions

After combining fractions, the resultant expression is simplified by combining like terms and reducing common factors in the numerator and denominator. This process ensures that the expression is expressed in its simplest and most understandable form.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later