Final answer:
The fractions 4/21, 7/18, and 9/14, when converted to decimals, are approximately 0.1905, 0.3889, and 0.6429 respectively. Thus, arranged from smallest to largest, the order is 4/21, 7/18, 9/14.
Step-by-step explanation:
To arrange the fractions 4/21, 7/18, and 9/14 from smallest to largest, we first need to compare them. A straightforward way to compare fractions is to find a common denominator or to convert them to decimals. Let's use the decimal method:
4/21 ≈ 0.19057/18 ≈ 0.38899/14 ≈ 0.6429
Comparing these decimal values, we can now easily rank the fractions from smallest to largest:
4/21
7/18
9/14