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

Flashcards

Equivalent Fractions

Fractions that represent the same value, despite having different numerators and denominators.

Simplifying Fractions

The process of dividing the numerator and denominator by the same number to reduce a fraction to its simplest form.

Numerator

The top number of a fraction, indicating how many parts are taken.

Denominator

The bottom number of a fraction, indicating how many equal parts the whole is divided into.

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Dividing Fractions

The action of dividing both the numerator and denominator by the same number to simplify a fraction.

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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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