6.NOS.1 Lesson 6-9-part2 Apply Day · Set B
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6.9 · Part II

Second Practice Form · Independent Application and Spiral Review

Divide Whole Numbers by Fractions · Whole Number

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 6.9 · Part II
1Dividing Fractions by Fractions
2The Structural Procedure
  1. Rewrite division as multiplication by the reciprocal of the divisor
  2. Cross-cancel common factors before multiplying
  3. Multiply numerators, multiply denominators, and simplify
3Mathematical Word Bank
  • Divide Whole Numbers by Fractions (Dividir números enteros entre fracciones) — Find how many fractional groups fit in a whole number by multiplying by the reciprocal.
  • Whole Number (Número entero) — A counting number with no fraction or decimal, like 0, 1, 2, 3.
  • Fraction (Fracción) — A number that shows part of a whole, like 3/4.
  • Reciprocal (Recíproco) — A fraction turned upside down.
  • Keep, Change, Flip (Mantener, cambiar, invertir) — A way to divide fractions: keep the first, change ÷ to ×, flip the second.
  • Quotient (Cociente) — The answer when you divide.
4Watch out
  • A common mistake in Divide Whole Numbers by Fractions is doing 'Keep, Change' but skipping the 'Flip' — students multiply by the divisor as it is instead of by its reciprocal. For example, for 6 ÷ 3/4, a student might write 6 × 3/4 = 4 1/2 and stop there, but the divisor 3/4 must be flipped to 4/3 first: 6 × 4/3 = 24/3 = 8. Before you submit, check: did I flip the second fraction (the divisor) upside down before multiplying?
SECTION 1 COMPUTATION & PROCEDURAL FLUENCY [Show Every Step]
  1. 1 MULTIPLE CHOICE

    What is 6 ÷ 1/3?

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

    What is 3 ÷ 1/5?

    1. A15
    2. B3/5
    3. C5/3
    4. D8
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    What is 10 ÷ 1/4?

    1. A40
    2. B2.5
    3. C14
    4. D10/4
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 4 MULTIPLE CHOICE

    There are 3 bags of trail mix. Each snack pouch needs 2/3 of a bag. How many full pouches can be filled, and is there a leftover?

    1. A4 1/2 pouches (4 full, half a pouch left)
    2. B4 pouches exactly
    3. C2 pouches
    4. D6 pouches
    ✏️ Workspace & Solution Steps
  2. 5 MULTIPLE CHOICE

    Detective Park bakes with 9 cups of batter. Each muffin pan holds 3/4 of a cup. How many pans can he fill?

    1. A12
    2. B6
    3. C27/4
    4. D9
    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