Final Answer:
The equivalent fraction for the given model with colored pieces representing parts of the whole is 3/4.
Step-by-step explanation:
In the provided model, there are three colored pieces out of a total of four. To determine the equivalent fraction, we look at the ratio of the colored pieces to the total number of pieces. Since there are three colored pieces and four pieces in total, the equivalent fraction is 3/4. This fraction represents the relationship between the colored parts and the whole, where the numerator (3) indicates the number of colored pieces, and the denominator (4) represents the total number of pieces in the model.
The process of finding equivalent fractions involves identifying a fraction that represents the same part-to-whole relationship. In this case, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor. However, in this instance, 3/4 is already in its simplest form, as 3 and 4 do not have a common factor other than 1. Therefore, the equivalent fraction remains 3/4.
Understanding fractions is essential in various mathematical concepts and real-world applications. They represent parts of a whole and are crucial in areas such as geometry, probability, and everyday calculations. In this scenario, the fraction 3/4 precisely captures the proportion of colored pieces in the given model, providing a clear and concise representation of the relationship between the highlighted elements and the entirety of the model.