Question

use benchmarks
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.