Final answer:
To sort the fractions 2/5, 2/3, and 3/7 into ascending order, find a common denominator and convert each fraction to have that denominator. Then, order the fractions from smallest to largest.
Step-by-step explanation:
- To sort the fractions 2/5, 2/3, and 3/7 into ascending order, we can find a common denominator for the fractions.
- The common denominator for these fractions is 105, which is found by multiplying the denominators together (5 * 3 * 7).
- Now, we can convert each fraction to have a denominator of 105: 2/5 = 42/105, 2/3 = 70/105, and 3/7 = 45/105.
- Finally, ordering these fractions from smallest to largest, we have 42/105, 45/105, and 70/105. Therefore, the fractions in ascending order are 2/5, 3/7, and 2/3.