Practice questions
1. Find the lesser fraction:
![PREALGEBRA_0101](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0101.gif)
2. Among these three fractions, which is greatest:
![PREALGEBRA_0102](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0102.gif)
Answers and explanations
1. Of the two fractions,
![PREALGEBRA_0103](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0103.gif)
Cross-multiply to compare the two fractions:
![PREALGEBRA_0104](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0104-FINAL.gif)
Because 35 is less than 36,
![PREALGEBRA_0105](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0105.gif)
2. Of the three fractions,
![PREALGEBRA_0106](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0106.gif)
Use cross-multiplication to compare the first two fractions.
![PREALGEBRA_0107](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0107-FINAL.gif)
Because 21 is greater than 20, this means that 1/10 is greater than 2/21, so you can rule out 2/21. Next, compare 1/10 and 3/29 by cross-multiplying.
![PREALGEBRA_0108](https://www.dummies.com/wp-content/uploads/PREALGEBRA_0108-FINAL.gif)
Because 30 is greater than 29, 3/29 is greater than 1/10. Therefore, 3/29 is the greatest of the three fractions.