6.NOS.1 Lesson 6-2-part2 Apply Day · Set B
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6.2 · Part II

Second Practice Form · Independent Application and Spiral Review

Divide Fractions · Dividend

Interactive Workbench & Models →
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■ ADVANCED CONCEPT ANCHOR: 6.2 · Part II
1Dividing Fractions Algorithm (Keep, Change, Flip)
2The Structural Procedure
  1. Keep the first fraction unchanged
  2. Change the division symbol (÷) to multiplication (×)
  3. Flip the second fraction to its reciprocal (d/c), then multiply across and simplify
3Mathematical Word Bank
  • Divide Fractions (Dividir fracciones) — Multiply the first fraction by the reciprocal of the second fraction.
  • Dividend (Dividendo) — The total number being divided into equal groups (the number inside the division bracket).
  • Divisor (Divisor) — The number of equal groups you are dividing into (the number outside the division bracket).
  • Reciprocal (Recíproco) — A fraction turned upside down.
  • Quotient (Cociente) — The answer when you divide.
  • Simplify (Simplificar) — To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.
4Watch out
  • A common mistake in Divide Fractions is flipping the wrong fraction: students flip the dividend (the first fraction) instead of the divisor (the second fraction). For example, solving 3/4 ÷ 5/8 by flipping 3/4 to 4/3 and keeping 5/8 gives 4/3 × 5/8 = 20/24 = 5/6 — but only the divisor gets flipped. Keep 3/4, change ÷ to ×, and flip only the divisor 5/8 to its reciprocal 8/5: 3/4 × 8/5 = 24/20 = 6/5. Before you submit, check that the fraction you kept (the dividend) is still facing the same way it started.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 6.1) Which expression means 'how many 1/3-size pieces are in 2'?

    1. A2 ÷ 1/3
    2. B2 × 1/3
    3. C1/3 ÷ 2
    4. D2 + 1/3
    ✏️ Workspace & Solution Steps
SECTION 2 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 2 MULTIPLE CHOICE

    What is (2/3) ÷ (4/9)?

    1. A3/2
    2. B8/27
    3. C2/3
    4. D9/4
    Write any whole number over 1
    Keep · Change · Flip
    Multiply across
    Simplify · label the units
  2. 3 MULTIPLE CHOICE

    What is (5/6) ÷ (5/12)?

    1. A2
    2. B1/2
    3. C25/72
    4. D12/5
    Write any whole number over 1
    Keep · Change · Flip
    Multiply across
    Simplify · label the units
  3. 4 MULTIPLE CHOICE

    What is 1/2 ÷ 1/4?

    1. A2
    2. B1/8
    3. C4
    4. D1/2
    ✏️ Workspace & Solution Steps
  4. 5 MULTIPLE CHOICE

    What is 3/4 ÷ 1/8?

    1. A6
    2. B3/32
    3. C8/3
    4. D24
    ✏️ Workspace & Solution Steps
SECTION 3 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 6 MULTIPLE CHOICE

    (Lesson 6.9) What is 6 ÷ 1/3?

    1. A18
    2. B2
    3. C6/3
    4. D3
    ✏️ Workspace & Solution Steps
  2. 7 MULTIPLE CHOICE

    What is the reciprocal of 3/5?

    1. A5/3
    2. B3/5
    3. C5/5
    4. D1/3
    Rewrite each fraction
    Work it out
    Simplify
📐 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