Types of Fractions

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Questions and Answers

Which of the following is an example of a mixed number?

  • 3/5
  • 1/4
  • 5/4
  • 2 1/3 (correct)

What defines equivalent fractions?

  • Fractions that have the same numerator and denominator.
  • Fractions with different numerators and different denominators.
  • Different fractions that represent the same value. (correct)
  • Fractions that are greater than 1.

Which fraction is an improper fraction?

  • 1/3
  • 2/5
  • 7/7 (correct)
  • 3/4

What is the definition of a unit fraction?

<p>A fraction with a numerator of 1. (B)</p> Signup and view all the answers

Which of the following pairs of fractions are like fractions?

<p>1/4 and 3/4 (D)</p> Signup and view all the answers

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Study Notes

Kinds of Fractions

  1. Proper Fractions

    • Definition: Numerator is less than the denominator.
    • Example: 3/4, 2/5
  2. Improper Fractions

    • Definition: Numerator is greater than or equal to the denominator.
    • Example: 5/4, 7/7
  3. Mixed Numbers

    • Definition: A whole number combined with a proper fraction.
    • Example: 2 1/3, 4 5/6
  4. Like Fractions

    • Definition: Fractions that have the same denominator.
    • Example: 1/4, 3/4, 2/4
  5. Unlike Fractions

    • Definition: Fractions that have different denominators.
    • Example: 1/3, 1/4
  6. Equivalent Fractions

    • Definition: Different fractions that represent the same value.
    • Example: 1/2 is equivalent to 2/4 and 3/6
  7. Decimal Fractions

    • Definition: Fractions where the denominator is a power of ten, typically expressed in decimal form.
    • Example: 0.5 (1/2), 0.25 (1/4)
  8. Simplest Form

    • Definition: A fraction is in simplest form when the numerator and the denominator are coprime (have no common factors other than 1).
    • Example: 4/8 simplified to 1/2
  9. Complex Fractions

    • Definition: A fraction where the numerator, the denominator, or both contain fractions.
    • Example: (1/2)/(3/4)
  10. Unit Fractions

    • Definition: Fractions with a numerator of 1.
    • Example: 1/5, 1/10

Types of Fractions

  • Proper Fractions: Numerator is less than the denominator; examples include 3/4 and 2/5, indicating values less than one.

  • Improper Fractions: Numerator is greater than or equal to the denominator; examples include 5/4 and 7/7, representing values that are equal to or greater than one.

  • Mixed Numbers: Combination of a whole number and a proper fraction; examples include 2 1/3 and 4 5/6, representing values greater than one expressed with both whole and fractional parts.

  • Like Fractions: Share the same denominator; examples are 1/4, 3/4, and 2/4, facilitating straightforward addition and subtraction.

  • Unlike Fractions: Have different denominators; examples include 1/3 and 1/4, requiring a common denominator for operations.

  • Equivalent Fractions: Different fractions that depict the same value; 1/2 is equivalent to 2/4 and 3/6, showing fractions can be simplified or altered while retaining value.

  • Decimal Fractions: Fractions with a denominator that is a power of ten, usually represented in decimal form; examples include 0.5 (1/2) and 0.25 (1/4).

  • Simplest Form: A fraction is in simplest form when the numerator and denominator are coprime with no common factors besides one; for instance, 4/8 simplifies to 1/2.

  • Complex Fractions: Fractions where the numerator, the denominator, or both are fractions themselves; for example, (1/2)/(3/4), illustrating a more intricate structure of fractions.

  • Unit Fractions: Fractions with a numerator of one; examples like 1/5 and 1/10 represent a single part of a whole divided into equal segments.

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