When using the clearing fractions technique to solve the equation 6 = 1/2v + 2/5v - 3/4v for a resource allocation project, what is the least common denominator (LCD) of the denominators 2, 5, and 4?

A logistics coordinator is calculating the net change in a fuel tank using the equation 6 = 1/2v + 2/5v - 3/4v, where v represents the total capacity. Arrange the following steps in the correct order to solve for v by clearing the fractions.

When solving the equation $6 = \frac{1}{2}v + \frac{2}{5}v - \frac{3}{4}v$ for a workplace staffing model, the clearing fractions technique requires that the constant 6 be multiplied by the least common denominator (20) to maintain the equality of the equation.

A resource analyst is using the equation $6 = \frac{1}{2}v + \frac{2}{5}v - \frac{3}{4}v$to model fuel distribution. To solve for$v$, the analyst clears the fractions by multiplying every term by the least common denominator (LCD) of 20. Match each term from the original equation with its simplified, 'cleared' form after this multiplication step.

Staffing Budget Simplification

In a corporate finance training module, a participant is asked to simplify the equation $6 = \frac{1}{2}v + \frac{2}{5}v - \frac{3}{4}v$ using the clearing fractions method. To eliminate the denominators, the participant multiplies every term on both sides by 20. This action is a direct application of the ________ Property of Equality.

Small Business Sales Volume Model

Procedure for Clearing Fractions in Business Formulas

A project manager is using the resource allocation formula $6 = \frac{1}{2}v + \frac{2}{5}v - \frac{3}{4}v$ to determine the total hours ($v$) needed for a task. To simplify the calculation, the manager multiplies both sides of the equation by the Least Common Denominator (20). Which mathematical property justifies the step of multiplying that 20 by every individual term on the right side of the equation?

A project analyst is verifying a resource allocation model based on the equation $6 = \frac{1}{2}v + \frac{2}{5}v - \frac{3}{4}v$. After determining that the total volume ($v$) is 40, the analyst substitutes this value back into the original equation to check the work. Which set of values represents the three simplified terms on the right side of the equation ($\frac{1}{2}v + \frac{2}{5}v - \frac{3}{4}v$) during this verification step?