Worked Example 1
Same Denominator
Compare 38 and 58.
- 1Both are eighths, so the parts are the same size.
- 23 eighths is fewer than 5 eighths.
Answer: 38 < 58
Florida Grade 3 Math · Fractions
MA.3.FR.2.1: Comparing and Ordering Fractions
What this Grade 3 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
What Is Benchmark MA.3.FR.2.1?
Students plot, order, and compare fractions that have the same numerator or the same denominator, including fractions greater than one and mixed numbers. They use number lines (like a ruler) and reasoning about the size of the parts.
Same denominator: the parts are the same size, so more parts is greater. Same numerator: the same number of parts, so the bigger parts (smaller denominator) is greater.
Official benchmarkPlot, order and compare fractional numbers with the same numerator or the same denominator.
On the FAST test: part of the Grade 3 reporting category Fractional Reasoning, which is about 23–29% of the test.
Worked Examples
Worked Example 2
Same Numerator
Compare 23 and 25.
- 1Both have 2 parts.
- 2Thirds are bigger parts than fifths, because the whole is split into fewer parts.
- 32 bigger parts is more than 2 smaller parts.
Answer: 23 > 25
Common Mistakes to Watch For
Thinking a bigger denominator always means a bigger fraction
Wrong:34 < 38
Fourths are bigger than eighths. With the same numerator, 34 > 38.
Comparing parts of different-sized wholes
Wrong:Half of a small pizza is more than half of a large pizza, so 12 can be greater than 12.
Compare fractions of the same whole, or points on the same number line.
Helpful Math Tip
Use a ruler as a number line: inches split into halves and fourths show where fractions and mixed numbers like 134 go.
Related Grade 3 Skills
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Start Practicing FreeIndependent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.