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Mixed Numbers and Conversions

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Mixed Numbers and Conversions

Classify, convert, and represent mixed numbers and improper fractions. Show your work for conversion problems.

Recognizing the Forms

1.Which group contains only mixed numbers?
  • 2 3/5 and 4 1/6
  • 7/3 and 5/8
  • 1 2/7 and 9/4
  • 6/11 and 3/10
2.Which pair consists of improper fractions?
  • 5/9 and 2/7
  • 8/5 and 11/6
  • 1 1/4 and 3/8
  • 2 2/3 and 7/10
3.Choose the statement that describes an improper fraction.
  • Its numerator is less than its denominator.
  • Its numerator is equal to or greater than its denominator.
  • It always has a whole-number part written beside it.
  • Its denominator is zero.
4.Match each fraction to its correct form.
  • 3/7
  • 9/4
  • 2 1/3
  • 6/6
  • 5 5/8
  • 4/9
  • Improper fraction
  • Mixed number
  • Proper fraction
  • Proper fraction
  • Improper fraction
  • Mixed number

Convert Between Forms

5.Write 17/6 as a mixed number.
6.Write 23/8 as a mixed number.
7.Write 19/5 as a mixed number.
8.Write 3 2/7 as an improper fraction.
9.Write 4 3/10 as an improper fraction.
10.A recipe uses 2 3/4 cups of oats. Express this amount as an improper fraction of a cup.

Model and Explain

11.The fraction bar is divided into equal fourths. Write the amount it represents as a fraction.
12.Draw a model of 1 2/3. Use equal-sized parts and shade the amount shown. Then write an equivalent improper fraction.
13.In your own words, explain how a mixed number and an improper fraction can describe the same amount. Include one example.

3 printable pages

  • Mixed Numbers and Conversions, page 1 of 3: Recognizing the Forms

    Page 1

  • Mixed Numbers and Conversions, page 2 of 3: Convert Between Forms

    Page 2

  • Mixed Numbers and Conversions, page 3 of 3: Model and Explain

    Page 3

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