Worked Example 1
Using a Benchmark
Compare 38 and 23.
- 138 is less than 48, which is 12.
- 223 is more than 12.
- 3So 38 is less than 23.
Answer: 38 < 23
Florida Grade 4 Math · Fractions
MA.4.FR.1.4: Comparing Fractions With Different Denominators
What this Grade 4 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.4.FR.1.4?
Students plot, order, and compare fractions, including mixed numbers and fractions greater than one, with different numerators and different denominators, and use <, >, or =.
Useful strategies: compare each fraction to a benchmark such as 12 or 1, or rewrite the fractions with a common denominator. Denominators are 2, 3, 4, 5, 6, 8, 10, 12, 16, and 100.
Official benchmarkPlot, order and compare fractions, including mixed numbers and fractions greater than one, with different numerators and different denominators.
On the FAST test: part of the Grade 4 reporting category Number Sense and Operations with Fractions and Decimals, which is about 31–37% of the test.
Worked Examples
Worked Example 2
Using a Common Denominator
Compare 54 and 76.
- 1Use twelfths: 54 = 1512 and 76 = 1412.
- 215 twelfths is more than 14 twelfths.
Answer: 54 > 76
Common Mistakes to Watch For
Comparing only the numerators
Wrong:38 > 23 because 3 > 2
The pieces are different sizes. 38 is less than 12 and 23 is more, so 38 < 23.
Comparing only the denominators
Wrong:56 < 712 because 6 < 12
Rewrite: 56 = 1012, and 1012 > 712.
Helpful Math Tip
Ask, "Is it more or less than one half?" first. That one question settles many comparisons quickly.
Related Grade 4 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.