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Florida Grade 3 Math · Fractions

MA.3.FR.2.2: Equivalent 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

Download Free Worksheet (PDF)See worked examples

What Is Benchmark MA.3.FR.2.2?

Equivalent fractions name the same amount, like 12 and 24. In Grade 3, students identify equivalent fractions and explain why they are equivalent, using fraction strips, drawings, and number lines.

Students do not need to create equivalent fractions yet. Fractions are 1 or less, with denominators 2, 3, 4, 5, 6, 8, 10, and 12.

Official benchmarkIdentify equivalent fractions and explain why they are equivalent.

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 1

Equivalent on Number Lines

Two number lines from 0 to 1 are the same length. One is split into halves and one into fourths. Are 12 and 24 equivalent?
  1. 112 is at the middle of the first number line.
  2. 224 is two fourths from 0, which is also the middle of the second number line.
  3. 3They are at the same point, so they are the same amount.
Answer: Yes, 12 = 24

Worked Example 2

Not Equivalent

Two same-size rectangles show 24 and 26. Are they equivalent?
  1. 1Fourths are bigger than sixths.
  2. 2Two fourths covers more of the rectangle than two sixths.
Answer: No, they are not equivalent

Common Mistakes to Watch For

Thinking the same numerator means the same amount

Wrong:24 = 26

Fourths are bigger parts than sixths, so 24 is more than 26.

Thinking fractions with different numbers can't be equal

Wrong:33 and 1 are different amounts.

Three thirds make the whole, so 33 = 1.

Helpful Math Tip

Line up fraction strips (or paper strips folded into halves, fourths, and eighths) and look for pieces that end at exactly the same spot.

Related Grade 3 Skills

MA.3.FR.2.1

Comparing and Ordering Fractions

MA.3.FR.1.1

Unit Fractions

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Independent 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.