### Clearing Fractions in an Equation**Topic:** Linear Equations**Subtopic:** Clearing Fractions in an Equation---#### Problem Statement:**Rewrite the equation below so that it does not have fractions.**\[ 5 - \frac{2}{3}x = \frac{3}{4} \]**Instructions:**- Do not use decimals in your answer.Below the problem statement, there is an input box for the student to enter their answer. Next to the input box, there are three buttons:1. **Check (✓)** - This button allows you to check if the entered solution is correct.2. **Undo (⟳)** - This button can be used to undo the last action.3. **Help (?)** - This button may provide hints or additional assistance.At the bottom, there are two buttons:1. **Explanation** - Clicking this may provide a step-by-step explanation of how to solve the problem.2. **Check** - Use this to submit your answer for validation.In this exercise, your goal is to clear the fractions in the equation by multiplying through by a common denominator.**Steps to Solve:**1. Identify the least common multiple (LCM) of the denominators.2. Multiply every term in the equation by this LCM to eliminate the fractions.3. Simplify the equation and solve for the variable as needed.By successfully removing the fractions, you will get an equivalent equation without fractions, making it easier to solve.Good luck!

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Answered: Rewrite the equation below so that it…

Math

Algebra

Rewrite the equation below so that it does not have fractions. 2 3 4 Do not use decimals in your answer.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

### Clearing Fractions in an Equation

**Topic:** Linear Equations

**Subtopic:** Clearing Fractions in an Equation

---

#### Problem Statement:
**Rewrite the equation below so that it does not have fractions.**

\[ 5 - \frac{2}{3}x = \frac{3}{4} \]

**Instructions:**
- Do not use decimals in your answer.

Below the problem statement, there is an input box for the student to enter their answer. Next to the input box, there are three buttons:
1. **Check (✓)** - This button allows you to check if the entered solution is correct.
2. **Undo (⟳)** - This button can be used to undo the last action.
3. **Help (?)** - This button may provide hints or additional assistance.

At the bottom, there are two buttons:
1. **Explanation** - Clicking this may provide a step-by-step explanation of how to solve the problem.
2. **Check** - Use this to submit your answer for validation.

In this exercise, your goal is to clear the fractions in the equation by multiplying through by a common denominator.

**Steps to Solve:**
1. Identify the least common multiple (LCM) of the denominators.
2. Multiply every term in the equation by this LCM to eliminate the fractions.
3. Simplify the equation and solve for the variable as needed.

By successfully removing the fractions, you will get an equivalent equation without fractions, making it easier to solve.

Good luck!

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