Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.116.11 · Part II

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can solve real-world problems by deciding whether the question asks how many groups fit or how much is in one group, writing a fraction division equation, and checking the solution by multiplying.

Remember6.11 · Part II

Fraction Division Word Problems

  1. Identify the Dividend (total amount being split or shared)
  2. Identify the Divisor (size of each group or part)
  3. Divide: Total ÷ Size = Number of Groups (or Total ÷ Groups = Size per Group)

Words: Model (Modelo)Equation (Ecuación)Solution (Solución)Reasonableness (Razonabilidad)Inverse operations (Operaciones inversas)

  1. 1Complete each step, then write the final answer.

    A rope is 5/8 yard long. Each piece is 1/8 yard. How many pieces can you cut?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Agent Torres has 3 pounds of plaster. Each cast uses 3/4 pound. How many casts can she make?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Time (hr)141Distance (mi)58?× ?× ?
    She walks 58 mile in 14 hour.

    Agent Torres walks 5/8 mile in 1/4 hour. At this speed, how far does she walk in 1 hour?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Sam has 1 1/2 hours to practice. Each song takes 1/4 hour. How many songs can he practice?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Time (min)34141Distance (m)310??÷ ?÷ ?× ?× ?
    The snail crawls 310 meter in 34 minute.

    A snail crawls 3/10 meter in 3/4 minute. At this speed, how far does it crawl in 1 minute?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.
    Batches121?Sugar (cups)34?412× ?× ?× ?× ?
    12 batch uses 34 cup of sugar.

    A recipe uses 3/4 cup of sugar for 1/2 of a batch. Ana has 4 1/2 cups of sugar. How many full batches can she make?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    A ribbon is 4/5 of a yard long. Each bow uses 1/10 of a yard. Which equation finds how many bows can be made?

    1. A1/10 ÷ 4/5
    2. B4/5 ÷ 1/10
    3. C4/5 × 1/10
    4. D4/5 + 1/10
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    A detective has 1/2 gallon of solution. Each test uses 1/8 gallon. How many tests can be run?

    1. A1/16
    2. B1/4
    3. C4
    4. D16
    Rewrite each fraction
    Work it out
    Simplify
  9. 9Circle the letter of the best answer. Show how you know.

    A trail is 3/4 mile long. A jogger runs laps of 1/4 mile each. How many laps does the jogger complete?

    1. A1/3 lap
    2. B3 laps
    3. C3/16 lap
    4. D4 laps
    Rewrite each fraction
    Work it out
    Simplify
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