Grade 4 Fractions Quiz: Equivalent and Decomposing Fractions
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Questions and Answers

What is the equivalent fraction of 4/8?

  • 2/4
  • 5/10
  • 3/6
  • 1/2 (correct)

    • How can 5/6 be decomposed into a sum of two fractions?

  • 3/6 + 2/6
  • 4/6 + 1/6 (correct)
  • 1/6 + 4/6
  • 2/6 + 3/6

    • What is the result of 2 1/4 + 1 3/4?

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

    • Calculate 3 × 1/4.

    <p>1 (C)</p> Signup and view all the answers

    What is the improper fraction equivalent to 4 3/4?

    <p>7/2 (D)</p> Signup and view all the answers

    Multiply 4 by 2 2/3.

    <p>12 2/3 (C)</p> Signup and view all the answers

    What is the sum of 1/2 and 3/4?

    <p>5/8 (A)</p> Signup and view all the answers

    How can 6/7 be decomposed into a sum of two fractions?

    <p>2/7 + 4/7 (B)</p> Signup and view all the answers

    What is the result of subtracting 1 2/5 from 2?

    <p>1 3/5 (C)</p> Signup and view all the answers

    What is the equivalent fraction of 4/9 with a denominator of 27?

    <p>18/27 (A)</p> Signup and view all the answers

    What is the result of adding 1 2/3 and 2 1/3?

    <p>3 2/3 (A)</p> Signup and view all the answers

    How do you express 2 1/2 as an improper fraction?

    <p>5/2 (C)</p> Signup and view all the answers

    Study Notes

    Equivalent Fractions

    • An equivalent fraction of 2/4 is 1/2.
    • 3/5 is equivalent to 6/10, 9/15, 12/20, or 15/25.
    • 1/3 can be expressed as 3/9 with a denominator of 9.

    Decomposing Fractions

    • 7/8 can be decomposed into 3/8 + 4/8 or 1/8 + 6/8 or 2/8 + 5/8.
    • 5/6 can be expressed as a sum of two fractions with a common denominator: 1/6 + 4/6 or 2/6 + 3/6 or 3/6 + 2/6.

    Add and Subtract Fractions with Like Denominators

    • 2/3 + 1/3 = 3/3.
    • 4/5 - 2/5 = 2/5.

    Add and Subtract Mixed Numbers with Like Denominators

    • 2 1/4 + 1 3/4 = 3 1/2 or 4 1/2.
    • 5 3/5 - 3 2/5 = 2 or 2 1/5.

    Multiply Whole Numbers and Fractions

    • 3 × 1/4 = 3/4.
    • 5 × 2/3 = 10/3 or 3 1/3.

    Multiply Whole Numbers with Mixed Numbers

    • 2 × 1 1/2 = 3 or 3 1/2.
    • 4 × 2 2/3 = 10 2/3 or 8 2/3 or 6 2/3.

    Change Mixed Numbers into Improper Fractions

    • 3 1/2 = 7/2.
    • 4 3/4 = 19/4.

    Change Improper Fractions to Mixed Numbers

    • 9/4 = 2 1/4.
    • 7/3 = 2 1/3.

    General Fraction Operations

    • 1/2 + 3/4 = 5/8 or 1 1/4.
    • 6/7 can be decomposed into 3/7 + 3/7 or 2/7 + 4/7 or 1/7 + 5/7.
    • 2 1/3 × 3 = 6 1/3 or 7 2/3.
    • 2 - 1 2/5 = 1 3/5 or 3/5.
    • 5/6 = 1 1/6.
    • 4/9 with a denominator of 27 is equivalent to 12/27.
    • 1 2/3 + 2 1/3 = 3 1/3 or 4.
    • 4/5 - 3/5 = 1/5.
    • 7/4 = 1 3/4.
    • 5/6 × 2 = 10/6 or 5/3.
    • 2 1/2 = 5/2.
    • 4 - 3 1/4 = 3/4 or 3 3/4.
    • 3 × 1 2/3 = 4 2/3 or 5.

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    Description

    Test your knowledge of equivalent fractions and decomposing fractions with this quiz designed for Grade 4 students. Practice simplifying fractions and decomposing them into sums of two fractions.

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