Which row of fractions is in the correct numerical order?

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Multiple Choice

Which row of fractions is in the correct numerical order?

Explanation:
When ordering fractions, compare their sizes by putting them over a common denominator. Here, using 16 as the common denominator makes the sizes easy to see. Convert each fraction: 1/8 = 2/16, 3/16 stays 3/16, 1/4 = 4/16, 5/16 stays 5/16, 3/8 = 6/16, and 7/16 stays 7/16. Now all are measured in sixteenths, so the order is 2/16, 3/16, 4/16, 5/16, 6/16, 7/16, which is increasing. Therefore the sequence is 1/8, 3/16, 1/4, 5/16, 3/8, 7/16. If any step mixed a larger fraction before a smaller one (for example placing a value that corresponds to a larger sixteenth before one that’s smaller), the order would not be increasing.

When ordering fractions, compare their sizes by putting them over a common denominator. Here, using 16 as the common denominator makes the sizes easy to see. Convert each fraction: 1/8 = 2/16, 3/16 stays 3/16, 1/4 = 4/16, 5/16 stays 5/16, 3/8 = 6/16, and 7/16 stays 7/16. Now all are measured in sixteenths, so the order is 2/16, 3/16, 4/16, 5/16, 6/16, 7/16, which is increasing. Therefore the sequence is 1/8, 3/16, 1/4, 5/16, 3/8, 7/16. If any step mixed a larger fraction before a smaller one (for example placing a value that corresponds to a larger sixteenth before one that’s smaller), the order would not be increasing.

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