Intro to Millwright Practice Exam

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Which operation is necessary to combine fractions with different denominators?

  1. Addition of numerators

  2. Finding a common denominator

  3. Subtracting the denominators

  4. Multiplying both fractions

The correct answer is: Finding a common denominator

To combine fractions with different denominators, finding a common denominator is essential. The common denominator allows the fractions to be expressed with the same bottom part, which is crucial for performing operations like addition or subtraction. When fractions have the same denominator, their numerators can be directly added or subtracted without confusion, ensuring that the operations maintain their mathematical integrity. For example, if you have the fractions 1/4 and 1/6, you first identify a common denominator, which would be 12 in this case. You then convert the fractions: 1/4 becomes 3/12 and 1/6 becomes 2/12. This step allows you to combine them effectively, yielding (3/12) + (2/12) = 5/12. This process of finding a common denominator is what facilitates the accurate combination of different fractions, setting the foundation for further calculations or simplifications.

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