use benchmarks

Question

compare two fractions using ___________

Answer 1

You can complete the sentence with "benchmarks" by saying: "use benchmarks to compare two fractions using common reference points."

Example of Comparing Fractions with Benchmarks:

To compare two fractions, such as 3/4 and 2/5, you can use benchmarks like 0, 1/2, and 1.

1. Convert the fractions to decimal:

   • 3/4 = 0.75
   • 2/5 = 0.4

2. Use benchmarks:

   • Since 0.75 is greater than 0.5, we know 3/4 is greater than 1/2.
   • Since 0.4 is less than 0.5, we know 2/5 is less than 1/2.

3. Conclusion:

   • Therefore, we can conclude that 3/4 > 2/5 since 3/4 is greater than 1/2 and 2/5 is less than 1/2.

In summary, using benchmarks helps to visually and conceptually compare fractions by converting them into a familiar range.