Let's compare all the answers to 72​, unless we find a larger fraction. 32​ is larger than 72​. For now, 32​ is the right answer. 32​ is also 96​ and that is smaller than 97​. For now, 97​ is the right answer. 97​ is bigger than 127​. Bring 53​ and 97​ to a common denominator. 97​=4535​ and 53​=4527​. 97​ is the largest fraction.