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  • Adding 35+x8\frac{3}{5} + \frac{x}{8}53​+8x​

Case Study

Evaluating Operational Efficiency Formulas

Identify the Least Common Denominator (LCD) the analyst used and state the specific algebraic rule that determines whether the terms 24 and 5x in the numerator are 'like terms.'

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Updated 2026-04-20

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Elementary Algebra @ OpenStax

Ch.1 Foundations - Elementary Algebra @ OpenStax

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  • Add the fractions: 2440+5x40\frac{24}{40} + \frac{5x}{40}4024​+405x​.

  • Match each part of the process for adding the fractions 35+x8\frac{3}{5} + \frac{x}{8}53​+8x​ to its corresponding value or expression.

  • Add 35+x8\frac{3}{5} + \frac{x}{8}53​+8x​. After rewriting with a common denominator of 40, the combined numerator is _____.

  • Arrange the steps to add the fractions: 35+x8\frac{3}{5} + \frac{x}{8}53​+8x​

  • Arrange the steps to add the fractions: 35+x8\frac{3}{5} + \frac{x}{8}53​+8x​.

  • Which expression shows the least common denominator (LCD) for the fractions 35\frac{3}{5}53​ and x8\frac{x}{8}8x​?

  • Find the Least Common Denominator (LCD) for the fractions 35\frac{3}{5}53​ and x8\frac{x}{8}8x​. Explain how you calculated it.

  • The fraction 24+5x40\frac{24 + 5x}{40}4024+5x​ can be simplified to 29x40\frac{29x}{40}4029x​.

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