This module introduces a number of strategies for comparing fractions. These strategies include using common denominators, common numerators, benchmark fractions, reasoning about piece size and the number of pieces, and determining the size of the "missing pieces" or "distance from a benchmark." A combination of these strategies is often used.
To earn credit for Problem 1, use/mention/describe each of these strategies at least once when solving Problems 2 and 3, below.
2. Use the strategies that we have learned in this lesson to order the following set of fractions from least to greatest. (Do not use cross-multiplication or change the fractions to decimals). You can rewrite a fraction as an equivalent fraction in order to use a particular strategy. Explain your steps for ordering the fractions.
6/7, 12/13, 36/29, 13/14, 4/9, 3/10
Corrections:
- Removed extra space before the fraction 36/29.
- Added a space after the comma in the list of fractions for proper formatting.