Simplifying Fractions in Algebra
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Questions and Answers

What occurs when a fraction is divided by the same number for both the numerator and denominator?

  • The value of the numerator increases.
  • The fraction becomes larger.
  • The fraction remains unchanged.
  • The fraction simplifies to an equivalent fraction. (correct)
  • Which of the following represents the equivalent fraction of $ rac{16}{8}$ after simplification?

  • $ rac{8}{4}$
  • $ rac{2}{1}$ (correct)
  • $ rac{1}{8}$
  • $ rac{4}{2}$
  • If the numerator of a fraction is doubled while keeping the denominator the same, what happens to the fraction's value?

  • The value of the fraction doubles. (correct)
  • The value of the fraction halves.
  • The fraction remains unchanged.
  • The value becomes zero.
  • What is the largest number that can be divided into both the numerator and denominator of the fraction $ rac{16}{8}$?

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

    If a fraction $ rac{a}{b}$ simplifies to $ rac{c}{d}$, which condition must be true?

    <p>Both fractions represent the same value. (D)</p> Signup and view all the answers

    Study Notes

    Simplifying Fractions

    • To simplify a fraction, divide the numerator and denominator by the same number.
    • This process creates an equivalent fraction.
    • Example: To simplify 16/8, find the largest common factor (GCF) of 16 and 8. Divide both the numerator and denominator by 8 to get 2/1.
    • 16/8 and 2/1 are equivalent fractions.

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    Description

    This quiz focuses on the process of simplifying fractions. You'll learn how to find the greatest common factor and create equivalent fractions. Practice your skills with examples to master this essential algebra concept.

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