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

Lesson 6.106.10 · Part II

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

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can explain what dividing with mixed numbers means, rewrite them as improper fractions, find the quotient with common denominators or by multiplying by the reciprocal, and check it by multiplying.

Remember6.10 · Part II

Dividing Mixed Numbers

  1. Convert each mixed number to an improper fraction: 3 1/2 = 7/2
  2. Name the question and divide: 7/2 ÷ 1/4 asks how many 1/4s fit in 7/2. With common denominators, 7/2 = 14/4, and 14 fourths ÷ 1 fourth = 14, or multiply by the reciprocal: 7/2 × 4/1 = 28/2 = 14
  3. Simplify, then check by multiplying: 14 × 1/4 = 14/4 = 3 1/2

Words: Mixed Number (Número mixto)Improper Fraction (Fracción impropia)Convert (Convertir)Simplify (Simplificar)Reciprocal (Recíproco)

Part 1Practice the skillshow every step
  1. 1Complete each step, then write the final answer.

    Find 4 1/2 ÷ 3/4.

    Show your work
    Final answer:
  2. 2Circle the letter of the best answer. Show how you know.

    What is 1 1/2 ÷ 3/4?

    1. A1 1/8
    2. B2
    3. C3/4
    4. D9/8
    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    What is 2 1/4 ÷ 3/4?

    1. A1 1/2
    2. B2 1/3
    3. C3
    4. D9/16
    Show your work
Part 2Apply itreal-world problems
  1. 4Complete each step, then write the final answer.

    Change the mixed number first. Then divide: 1 1/2 ÷ 1/2.

    Show your work
    Final answer:
  2. 5Complete each step, then write the final answer.

    A number divided by 1 1/2 is 3 1/3. What is the number?

    Show your work
    Final answer:
  3. 6Complete each step, then write the final answer.

    A walking path is 5 1/3 miles long. It has signs every 2/3 mile. How many 2/3-mile parts does the path have?

    Show your work
    Final answer:
  4. 7Complete each step, then write the final answer.

    A fish tank holds 11 1/4 gallons. A bucket holds 2 1/2 gallons. How many buckets of water fill the tank?

    Show your work
    Final answer:
  5. 8Complete each step, then write the final answer.

    Find 2 1/4 ÷ 1 4/5. Write the answer as a mixed number in simplest form.

    Show your work
    Final answer:
  6. 9Circle the letter of the best answer. Show how you know.

    Convert 3 2/5 to an improper fraction.

    1. A6/5
    2. B15/5
    3. C17/5
    4. D32/5
    Rewrite each fraction
    Work it out
    Simplify
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