Identify the expression as an equation containing fractions, a fractional equation, or a proportion. 2x 1+ x +10+21 x+7 x+3 Fractional equation Equation containing fractions Proportion

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Educational Website Content

#### Identifying the Expression as an Equation Containing Fractions, a Fractional Equation, or a Proportion

Consider the following mathematical expression:

\[ \frac{2x}{x+7} - \frac{x}{x+3} = 1 + \frac{1}{x^2 + 10x + 21} \]

You are required to identify whether this expression is:

1. A Fractional equation
2. An Equation containing fractions
3. A Proportion

Choose the correct option from the list provided below:
- Fractional equation
- Equation containing fractions
- Proportion

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### Explanation of the Components:

**Fractional Equation:** An equation where the variable appears in the denominator of one or more fractions.

**Equation Containing Fractions:** An equation that incorporates fractions, but the variable does not necessarily need to be in the denominator. 

**Proportion:** An equation that states that two ratios are equivalent. 

Carefully analyze the given example and select the appropriate category based on the definitions stated above.
Transcribed Image Text:### Educational Website Content #### Identifying the Expression as an Equation Containing Fractions, a Fractional Equation, or a Proportion Consider the following mathematical expression: \[ \frac{2x}{x+7} - \frac{x}{x+3} = 1 + \frac{1}{x^2 + 10x + 21} \] You are required to identify whether this expression is: 1. A Fractional equation 2. An Equation containing fractions 3. A Proportion Choose the correct option from the list provided below: - Fractional equation - Equation containing fractions - Proportion --- **Interactive Elements:** - **Next Question:** Moves to the subsequent question in the sequence. - **Ask for Help:** Provides assistance with the current question. - **Turn It In:** Submit your answer for evaluation. **Note:** This content is provided by Glynlyon, Inc., with digital and intellectual property rights reserved from the years 2007, 2009, 2011, 2012, 2013, 2014, and 2016. **Graphical Interface:** - The image includes a user interface which shows a total of 11 sequential steps displayed at the top, with the current step highlighted as step 5. - Below the main content, there's a visible "MacBook Pro" keyboard indicating the user is likely working on a laptop. **Terms of Use:** Accessible at the bottom right corner to review the legal usage terms for this content. --- ### Explanation of the Components: **Fractional Equation:** An equation where the variable appears in the denominator of one or more fractions. **Equation Containing Fractions:** An equation that incorporates fractions, but the variable does not necessarily need to be in the denominator. **Proportion:** An equation that states that two ratios are equivalent. Carefully analyze the given example and select the appropriate category based on the definitions stated above.
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