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## Use Benchmarks

When you want to compare fractions, it often helps to first compare them to the benchmarks 0, , and 1.

Example: Which is smaller, or ?

Answer: Since is close to 0 and is equal to , is smaller than . We can write < .

- Use benchmarks to decide which fraction is larger. Use the symbols < or > in your answers.
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- ,

## Patterns in Numerators and Denominators

When fractions have the same numerators or the same denominators, it is sometimes easier to compare them. In Questions 6 and 7, you will look for patterns.

- Put each of the following sets of fractions in order from smallest to largest. Use the symbol for “less than” (<) in your answer. Follow the example:

Example: , , , Answer: < < < - , , ,
- , , ,
- If two or more fractions have the same denominator, how can you tell which of the fractions is larger?
- Put each of the following sets of fractions in order from smallest to largest.
- , ,
- , ,
- , ,
- When you compare fractions that have a numerator of 1, how can you tell which is larger?