Task# Who is the better batter?

Illustrative MathematicsVaries

The purpose of this task is to give students a real-world context for comparing fractions where it is natural to convert the fractions to decimals or describe the situation in terms of percents. While it is possible to compare the batting averages in fraction form (as shown in the second solution), many people find it helpful to convert to decimals or to use the language of percents. This is because writing a fraction in decimal form amounts to finding a common denominator; in the first solution shown, we are actually finding approximately equivalent fractions with a common denominator of 1,000. Converting to decimals also helps students easily get a handle on the relative magnitude of the fractions, and students need to be able to translate between these forms fluently, especially when they are solving complex modeling problems.