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Study with Ghada› Math Fifth Grade, Primary› Unit 6

Lesson ⁦6-2⁩: Improper Fractions

Math · Fifth Grade, Primary · Unit 6: Fractions · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

Students distinguish between a proper fraction, whose numerator is less than its denominator, and an improper fraction, whose numerator is greater than or equal to its denominator, and represent improper fractions with models.

  • Distinguishes proper fractions from improper fractions
  • Represents improper fractions with models and on a number line
  • Writes an improper fraction that represents a real-life situation

💡 Tip: An improper fraction is always worth 1 or more, and a proper fraction is worth less than 1. Compare the numerator with the denominator to know the type right away.

🤖 Ask Ghada about the lesson

Ghada explains the lesson and answers your questions about it. Log in to get started.

Worked examples from the Improper Fractions lesson questions

An improper fraction is a fraction:
  • whose numerator is greater than or equal to its denominator
  • whose numerator is less than its denominator
  • whose denominator is always 1
  • whose numerator is always 1
✓ whose numerator is greater than or equal to its denominator
If the numerator is greater than or equal to the denominator, the fraction is improper, like 7/4 and 5/5, and its value is 1 or more.
Which of the following fractions is an improper fraction?
  • 7/4
  • 3/4
  • 1/2
  • 5/9
✓ 7/4
In 7/4, the numerator 7 is greater than the denominator 4, so it is an improper fraction. The others have numerators less than their denominators.
Show more examples (3)
Which of the following fractions is a proper fraction?
  • 2/5
  • 5/2
  • 9/9
  • 8/3
✓ 2/5
A proper fraction has a numerator less than its denominator, and 2 is less than 5. In 9/9 the numerator equals the denominator, so it is improper.
Each pie was cut into 4 equal pieces, and 9 pieces were eaten. What fraction represents the amount eaten?
  • 9/4
  • 4/9
  • 9/8
  • 5/4
✓ 9/4
Each piece is a quarter of a pie, and 9 pieces = 9 quarters = 9/4, which is an improper fraction.
The fraction 6/3 equals the whole number:
  • 2
  • 3
  • 18
  • 9
✓ 2
6/3 = 6 ÷ 3 = 2.

FAQ about the Improper Fractions lesson

What is an improper fraction?

A fraction whose numerator is greater than or equal to its denominator, such as 9/4 and 5/5. Its value is 1 or more.

Each pie was cut into 4 pieces and 9 pieces were eaten. What fraction represents that?

Each piece is a fourth, so 9/4 was eaten. It is an improper fraction equal to two and one-fourth pies.

How do I study the lesson Improper Fractions and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fifth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 5 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.

Unit 6 lessons: Fractions

⁦6-1⁩ Division and Fractions ⁦6-3⁩ Problem-Solving Strategy: Use Venn Diagrams ⁦6-4⁩ Mixed Numbers ⁦6-5⁩ Compare Fractions and Mixed Numbers ⁦6-6⁩ Round Fractions ⁦6-7⁩ Problem-Solving Investigation All Math Fifth Grade, Primary lessons →
← ⁦6-1⁩ Division and Fractions ⁦6-3⁩ Problem-Solving Strategy: Use Venn Diagrams →