Notice that all the denominators are factors of 64.
Multiply each fraction by 64, which means dividing the denominator into 64:
60, 24, 14, 27, 42, 16.
Now it’s easy to put them in order: 14, 16, 24, 27, 42, 60.
Now divide by 64 or refer to the original list:
7/32, 1/4, 3/8, 27/64, 21/32, 15/16.