Worked Example 1
Three Ways to Break Apart
Decompose 76 in three different ways.
- 166 + 16 = 76
- 246 + 36 = 76
- 326 + 26 + 36 = 76
Answer: Any sum of sixths whose numerators add to 7
Florida Grade 4 Math · Fractions
MA.4.FR.2.1: Breaking Fractions Apart
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.2.1?
Students decompose (break apart) a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator, in more than one way.
For example, 98 can be 88 + 18 or 38 + 38 + 38. Students show each way with objects, drawings, and equations.
Official benchmarkDecompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations.
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
A Mixed Number
Decompose 214 into fourths.
- 1Each whole is 44.
- 2214 = 44 + 44 + 14
Answer: 44 + 44 + 14
Common Mistakes to Watch For
Changing the denominator
Wrong:58 = 24 + 34
Keep the same denominator; only split the numerator: 58 = 28 + 38.
Parts that don't add up to the whole fraction
Wrong:56 = 26 + 26
The numerators must add to 5: 56 = 26 + 36.
Helpful Math Tip
Use fraction strips or a drawing: shade the fraction, then color the shaded part in two or three different colors to show a decomposition.
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.