Solving by Clearing Fractions
To solve the linear equation , find the least common denominator (LCD) of and , which is . Multiply both sides by the LCD to clear the fractions: . This simplifies to . Distribute the constants to get . Subtract from both sides to collect the variable terms, yielding . Add to both sides to isolate , resulting in the final solution .
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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Solving by Clearing Fractions
Solving by Clearing Fractions
Strategy to Solve Equations with Rational Expressions
A logistics coordinator is simplifying a shipping cost formula that contains several fractions. To use the method of clearing fractions from the equation, in what order should the coordinator perform the following steps?
A financial analyst is clearing fractions from a revenue equation to make the algebra simpler. According to the standard strategy, what is the primary goal of multiplying every term in the equation by the least common denominator (LCD)?
A project coordinator is simplifying a budget allocation formula that contains several fractions. Match each step of the 'clearing fractions' strategy with the correct action the coordinator should take to transform the equation into one with only integer coefficients.
A production planner is simplifying a resource allocation formula that contains several fractional coefficients. To begin the process of 'clearing the fractions,' the planner must first identify the ________ ________ ________ (LCD) of every fraction in the equation.
A budget analyst is simplifying a departmental expense formula that contains both whole numbers and fractions. True or False: To 'clear the fractions' from the equation while maintaining equality, the analyst must multiply every term on both sides of the equation by the Least Common Denominator (LCD), including the terms that do not have fractions.
Standard Procedure for Clearing Fractional Coefficients
Assisting a Colleague with Complex Financial Formulas
Standard Procedure for Clearing Fractional Coefficients in Equations
A project coordinator is simplifying a budget formula that contains several fractional coefficients. To make the calculations easier, the coordinator multiplies every term on both sides of the equation by a common multiple of all the denominators. Which of the following is true regarding the solution to this new equation?
A construction foreman is using a resource allocation formula that contains several fractional coefficients. To simplify his calculations, he applies the strategy of 'clearing the fractions' by multiplying both sides of the equation by the Least Common Denominator (LCD). What is the primary characteristic of the coefficients and constants in the resulting equivalent equation?
Solving rac{4q+3}{2} + 6 = rac{3q+5}{4} by Clearing Fractions
Solving rac{3r+5}{6} + 1 = rac{4r+3}{3} by Clearing Fractions
Solving rac{2s+3}{2} + 1 = rac{3s+2}{4} by Clearing Fractions
Solving by Clearing Fractions
Solving by Clearing Fractions
Solving by Clearing Fractions
Solving by Clearing Fractions
Solving by Clearing Fractions
Requirement to Multiply Every Term by the LCD
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An inventory analyst is solving the production model equation to find the required materials margin, . Recalling the procedure to clear fractions, they multiply both sides by the least common denominator (LCD) of 4. Which of the following shows the correct equation immediately after clearing the fractions?
A data analyst is using the equation to calculate a cost-efficiency margin . To solve this equation using the 'clearing fractions' strategy, the analyst must follow a specific sequence of steps. Arrange the following actions in the correct chronological order as they should be performed.
A project coordinator is solving for a material margin using the linear equation . To simplify this equation by clearing the fractions, the coordinator must multiply both sides of the equation by the least common denominator (LCD) of the two fractions. Identify the numerical value of the LCD for this equation.
An operations analyst is solving for a material margin using the linear equation rac{1}{2}(m - 3) = rac{1}{4}(m - 7). To simplify the calculation, they follow the procedure of clearing fractions by using the least common denominator (LCD). Match each part of the solving process with its correct numerical value or mathematical expression.
A logistics manager is solving the equation to determine a shipping margin . True or False: According to the 'clearing fractions' strategy, after multiplying both sides by the least common denominator of 4, the resulting equation after performing distribution is .