Pre-Algebra Practice Questions: Comparing Fractions Using Cross-Multiplication
Cross-multiplication is a handy tool for finding the common denominator for two fractions, which is important for many operations involving fractions. In the following practice questions, you are asked to cross-multiply to compare fractions to find out which is greater or less.
1. Find the lesser fraction:
2. Among these three fractions, which is greatest:
Answers and explanations
1. Of the two fractions,
Cross-multiply to compare the two fractions:
Because 35 is less than 36,
2. Of the three fractions,
Use cross-multiplication to compare the first two fractions.
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.
Because 30 is greater than 29, 3/29 is greater than 1/10. Therefore, 3/29 is the greatest of the three fractions.