Equivalent Fractions

Learn how equivalent fractions work and how to expand and simplify fractions. Let’s get started! 🚀

Equivalent Fractions - introduction visual

Video Lesson

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Flashcards

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Expanding fractions example showing 1/2 multiplied by 8 to get 8/16 with visual representation of equivalent fractions 1/2, 2/4, 4/8, and 8/16.Illustration shows simplifying fractions with examples of 8/16 simplified to 1/2 and equivalent fractions 1/2, 2/4, 4/8, and 8/16 using shaded boxes.Simplifying 18/63 to 2/7 by dividing by 9 and expanding 2/7 to 18/63 by multiplying by 9.Expanding fractions by multiplying and simplifying fractions by dividing using the example of 12/20 and 72/120.Fully simplified fractions example, showing the fraction 480/1260 simplified to 8/21 by dividing both numerator and denominator by common factors.

🛎️ Expanding Fractions

  • To expand a fraction, multiply the numerator and denominator by the same number.
  • This changes how the fraction looks, but the value stays the same.

🛎️ Simplifying Fractions

  • To simplify a fraction, divide the numerator and denominator by the same number.
  • This keeps the value the same, but makes the fraction simpler.

🛎️ How to Expand Fractions

  • Find the number that both the numerator and denominator are multiplied by.
  • For example, 2 × 9 = 18, so 7 × 9 = 63.
  • So, 2/7 can be expanded by 9 to make 18/63.

🛎️ How to Simplify Fractions

  • Find the number that both the numerator and denominator are divided by.
  • For example, 72 ÷ 6 = 12 and 120 ÷ 6 = 20.
  • So, 72/120 can be simplified by 6 to make 12/20.

🛎️ Fully Simplified Fractions

  • A fraction is fully simplified when the numerator and denominator have no common factors other than 1.
  • For example, 6/8 is not fully simplified, but 3/4 is.

Practice Questions

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