Fractions are commonly used in high schools to develop mathematical understanding and problem-solving skills. They are essential for students to grasp concepts such as ratios, proportions, and percentages, which are foundational for advanced mathematics and real-world applications.

The use of fractions in high schools is rooted in their ability to represent parts of a whole and to facilitate comparisons between quantities. According to the National Council of Teachers of Mathematics (NCTM), fractions are a critical component of the mathematics curriculum because they help students develop a deeper understanding of numbers and operations (NCTM, 2010). For instance, fractions are used to solve problems involving division, which is a fundamental arithmetic operation.

Data from the National Assessment of Educational Progress (NAEP) show that students who are proficient in fractions tend to perform better in other areas of mathematics (NAEP, 2019). This is because fractions require students to understand the relationships between numbers and to apply this understanding to solve complex problems. For example, understanding fractions is crucial for solving problems involving rates, ratios, and proportions, which are prevalent in fields such as science, engineering, and finance.

Moreover, fractions are a stepping stone to more advanced mathematical concepts. They are essential for understanding algebra, where variables and expressions are often represented as fractions. This is evident in the Common Core State Standards for Mathematics, which emphasize the importance of fractions in the development of algebraic thinking (CCSS, 2010). By mastering fractions, students are better prepared for higher-level mathematics courses and future academic and career endeavors.

In conclusion, fractions are commonly used in high schools due to their role in developing mathematical understanding, problem-solving skills, and preparation for advanced mathematics. The use of fractions is supported by research indicating their importance in various mathematical domains and their correlation with overall mathematical proficiency.