Florida Grade 6 Math · Number Sense and Operations

MA.6.NSO.2.3: Multi-Step Problems With Decimals or 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.2.3?

Students solve multi-step real-world problems using any of the four operations with positive decimals or positive fractions and mixed numbers.

In Grade 6, a single problem uses either decimals or fractions, not both. Planning the steps before calculating is the key skill.

Official benchmarkSolve multi-step real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers.

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

A Decimal Problem

Kim buys 3 notebooks for $2.75 each and a pen for $1.49. She pays with $20. How much change does she get?
  1. 1Notebooks: 3 × 2.75 = 8.25
  2. 2Total: 8.25 + 1.49 = 9.74
  3. 3Change: 20 − 9.74 = 10.26
Answer: $10.26

Worked Example 2

A Fraction Problem

A board is 812 feet long. Dan cuts 3 pieces that are each 134 feet long. How much of the board is left?
  1. 1Pieces cut: 3 × 134 = 514
  2. 2Left over: 812 − 514 = 314
Answer: 314 feet

Common Mistakes to Watch For

Stopping after the first step

Wrong:Kim's change is $8.25.

$8.25 is the cost of the notebooks. Add the pen, then subtract from $20: $10.26.

Lining up decimals by the last digit

Wrong:8.25 + 1.49 = 8.374

Line up the decimal points: 8.25 + 1.49 = 9.74.

Helpful Math Tip

Have your child list the steps in words first ("find the cost of the notebooks, add the pen, subtract from 20"), then do the math.

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.