Compare fractions using benchmarks
Benchmarks like 0, 1/2, and 1 help you compare fractions quickly without always finding common denominators.
Do this: Read the concept below, then try the quiz or activity.
Concept
Use three benchmark anchors: - 0 - 1/2 - 1
Example 1: Compare 3/8 and 5/8 Same denominator ā compare numerators ā 5/8 is greater.
Example 2: Compare 3/7 and 1/2 Half of 7 is 3.5, so 3/7 is just below 1/2. Therefore 3/7 < 1/2.
Example 3: Compare 9/10 and 7/8 Both are close to 1, but 9/10 is 0.9 and 7/8 is 0.875, so 9/10 is greater.
š Fast thinking: - Small numerator compared to denominator ā near 0 - Numerator close to denominator ā near 1
Try it
Compare using >, <, or =.
1. 2/5 ___ 1/2 2. 6/8 ___ 1/2 3. 7/9 ___ 1 4. 3/10 ___ 1/2 5. 5/6 ___ 4/5
Explain: 6. Why is 4/9 less than 1/2? 7. Which is closer to 1: 11/12 or 7/8?