Final answer:
To order the fractions using Dexter's method, we need to make the numerators the same by finding a common denominator. Then, we compare the numerators to put the fractions in order.
Step-by-step explanation:
In order to put the fractions in order using Dexter's method, we need to make the numerators the same. Let's find a common denominator for all the fractions. The denominators are 7, 5, 4, and 7. In order to make the denominators the same, we need to find the least common multiple (LCM) of these numbers.
The LCM of 7, 5, and 4 is 140. Now let's convert each fraction so that they all have a denominator of 140.
The conversions are as follows: 2/7 = 40/140, 2/5 = 56/140, 21/4 = 735/140, and 35/7 = 700/140.
Now that all the fractions have the same denominator, we can order them by comparing the numerators. The fractions in order from smallest to largest are 40/140, 56/140, 700/140, and 735/140.