Task# Comparing Fractions with a Different Whole

Illustrative MathematicsVaries

This task is meant to address a common error that students make, namely, that they represent fractions with different wholes when they need to compare them. This task is meant to generate classroom discussion related to comparing fractions. Particularly important is that students understand that when you compare fractions, you implicitly always have the same whole. By recognizing the mistake that Bryce has made in his reasoning, students will demonstrate their understanding that comparisons between fractions are valid only when the fractions refer to the same whole.