Standard 4.NF.2
Compare two fractions with different numerators and different denominators, for example, by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, for example, by using a visual fraction model.
Explanation: What we are learning is how to identify if a fraction is greater than, less than, or equal to another. One method we use is to compare it to 1/2.
For example, if we compare 1/4 to 9/12. We know 1/4 is less than half, and 9/12 is more than half. So that tells us that 1/4 < 9/12. We also learn some other strategies in the videos below.
Class lesson on methods for comparing fractions
Butterfly Method of Comparing Fractions 11/14 (See LCM method below) 4.NF.2
Using LCM to Compare Fractions 4.NF.2