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Simplifying 6\left( rac{5}{6}y + rac{1}{2} ight) Using the Distributive Property
When an algebraic expression contains fractional terms within parentheses, such as 6\left( rac{5}{6}y + rac{1}{2} ight), the Distributive Property can be used to eliminate the fractions. Distributing the to each fraction results in 6 \cdot rac{5}{6}y and 6 \cdot rac{1}{2}. The first term simplifies to , since the s cancel, and the second simplifies to . The resulting expression is , which involves only whole numbers.
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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Simplifying Using the Distributive Property
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A logistics manager uses the formula {}6\left(\frac{5}{6}y + \frac{1}{2} ight) to estimate the processing time for a batch of shipments, where represents the number of items per container. Which of the following expressions is equivalent to the original formula after applying the Distributive Property to remove the parentheses?
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A warehouse supervisor is simplifying a resource allocation formula by multiplying the value outside the parentheses by each term inside to eliminate the fractions. Arrange the steps of this simplification in the correct order from start to finish.
An inventory manager uses the formula to estimate the total supplies required across six different departments. To simplify the tracking process, the manager applies the Distributive Property to eliminate the fractions. The resulting simplified expression is ____.