Dividing whole numbers by fractions

  • Grade: Grade 6
    Activity type: n.a.

Dividing whole numbers by fractions

Course
Mathematics
Grade
Grade 6
Section
Fractions
Outcome
Dividing whole numbers by fractions
Activity Type
n.a.
Activity ID
30189

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  • 5 – Grade 5
    • 5.NF – Number & Operations—Fractions
      • Mathematics

        • 5.NF.4 – Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

          • 5.NF.4.a – Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

        • 5.NF.7 – Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.)

          • 5.NF.7.a – Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

          • 5.NF.7.c – Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

  • Year 6
    • Number and Algebra
      • Fractions and decimals

        • ACMNA127 – Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies

  • 7 – Year 7
    • 7.NA – Number and algebra
      • 7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)

This activity is not included in United Kingdom – National Curriculum.

You can go to an overview of all the curricula here.