Question

1. critique reasoning jake said you compare two fractions with the same denominator by only comparing the numerators. is jake correct? explain.

Explanation:

When fractions have the same denominator, they represent parts of the same whole where each part is equal in size. So the fraction with the larger numerator has more of those equal parts, making it the larger fraction. This means comparing only the numerators works for like-denominator fractions.

Answer:

Jake is correct. When two fractions have the same denominator, each fraction represents parts of a whole that are all the same size. The numerator tells you how many of those equal parts you have, so the fraction with the greater numerator is the larger fraction. For example, $\frac{3}{5}$ is larger than $\frac{2}{5}$ because 3 is greater than 2, and both are counting fifths of the same whole.