6.NOS.1 Lesson 6-10-part2 Apply Day · Set B
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6.10 · Part II

Second Practice Form · Independent Application and Spiral Review

Divide Mixed Numbers · Mixed Number

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■ ADVANCED CONCEPT ANCHOR: 6.10 · Part II
1Dividing Mixed Numbers
2The Structural Procedure
  1. Convert all mixed numbers into improper fractions
  2. Apply Keep, Change, Flip: Multiply by the reciprocal of the divisor
  3. Multiply across, simplify, and convert back to mixed number if needed
3Mathematical Word Bank
  • Divide Mixed Numbers (Dividir números mixtos) — Change mixed numbers to improper fractions, then multiply by the reciprocal.
  • Mixed Number (Número mixto) — A whole number plus a fraction, like 2 1/3.
  • Improper Fraction (Fracción impropia) — A fraction where the top is bigger than or equal to the bottom, like 7/4.
  • Convert (Convertir) — To change a number to a new form but keep the same value.
  • Simplify (Simplificar) — To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.
  • Reciprocal (Recíproco) — A fraction turned upside down. You use it in keep-change-flip.
4Watch out
  • A common mistake in Divide Mixed Numbers is dividing the whole-number parts and fraction parts separately instead of converting first — for example, treating 4 1/2 ÷ 1 1/2 as (4 ÷ 1) + (1/2 ÷ 1/2) = 5. Always convert each mixed number to one improper fraction first, then divide using Keep, Change, Flip: 4 1/2 ÷ 1 1/2 = 9/2 ÷ 3/2 = 9/2 × 2/3 = 3.
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 1 MULTIPLE CHOICE

    What is 1 1/2 ÷ 3/4?

    1. A2
    2. B1 1/8
    3. C3/4
    4. D9/8
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    What is 2 1/4 ÷ 3/4?

    1. A3
    2. B1 1/2
    3. C9/16
    4. D2 1/3
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    What is the value of 3 3/4 ÷ 1 1/2?

    1. A2 1/2
    2. B5 5/8
    3. C2
    4. D1 1/2
    ✏️ Workspace & Solution Steps
  2. 4 MULTIPLE CHOICE

    Convert 3 2/5 to an improper fraction.

    1. A17/5
    2. B15/5
    3. C6/5
    4. D32/5
    Rewrite each fraction
    Work it out
    Simplify
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 OPEN RESPONSE

    A detective has a rope that is 5 1/4 feet long. She needs to cut it into pieces that are each 3/4 foot for tying evidence tags. How many pieces can she cut? Write the equation, show each step (convert, keep-change-flip, multiply, simplify), and verify your answer.

    ✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It