To determine the order of the fractions, you can compare them by finding a common denominator. Here's how you can do it step by step:
Step 1: Find the common denominator for the fractions 3/8, 2/7, and 4/9. The common denominator is the least common multiple (LCM) of the denominators 8, 7, and 9, which is 504.
Step 2: Convert each fraction so they all have the same denominator of 504:
3/8 = (3/8) * (63/63) = 189/504
2/7 = (2/7) * (72/72) = 144/504
4/9 = (4/9) * (56/56) = 224/504
Step 3: Now that all the fractions have the same denominator, compare the numerators to determine the order. In this case, 144/504 < 189/504 < 224/504.
Therefore, the order of the fractions from lowest to highest is:
2/7, 3/8, 4/9.