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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Fractions
A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator indicates how many parts are taken, and the denominator indicates the total number of equal parts. Understanding fractions is essential for performing operations such as simplification, addition, and subtraction.
A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, one must divide both the numerator and denominator by their greatest common divisor (GCD). This process ensures that the fraction is expressed in its simplest form, making it easier to understand and work with.
The greatest common divisor is the largest positive integer that divides two or more integers without leaving a remainder. Finding the GCD is crucial for simplifying fractions, as it allows one to reduce the fraction to its lowest terms by dividing both the numerator and denominator by this value.