Florida Grade 6 Math · Number Sense and Operations

MA.6.NSO.2.2: Multiplying and Dividing Fractions

What this Grade 6 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.6.NSO.2.2?

Students multiply and divide positive fractions and mixed numbers with procedural fluency, connecting visual models, the relationship between multiplication and division, and reciprocals.

To multiply, multiply the numerators and the denominators. To divide, multiply by the reciprocal of the divisor (flip the second fraction). Change mixed numbers to fractions first.

Official benchmarkExtend previous understanding of multiplication and division to compute products and quotients of positive fractions by positive fractions, including mixed numbers, with procedural fluency.

On the FAST test: part of the Grade 6 reporting category Number Sense and Operations, which is about 33–42% of the test.

Worked Examples

Worked Example 1

Multiplying Fractions

23 × 34
  1. 1Multiply numerators and denominators: 612
  2. 2Simplify: 612 = 12
Answer: 12

Worked Example 2

Dividing a Mixed Number

212 ÷ 34
  1. 1Write the mixed number as a fraction: 212 = 52
  2. 2Multiply by the reciprocal: 52 × 43 = 206
  3. 3206 = 313
Answer: 313

Common Mistakes to Watch For

Flipping the wrong fraction

Wrong:52 ÷ 34 = 25 × 34

Keep the first fraction and use the reciprocal of the divisor: 52 × 43.

Multiplying the parts of mixed numbers separately

Wrong:112 × 213 = 216

Change to fractions first: 32 × 73 = 216 = 312.

Helpful Math Tip

Ask what the division means: 212 ÷ 34 asks "how many 34s fit in 212?" A drawing shows the answer is a little more than 3.

Related Grade 6 Skills

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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.