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Visual representation of equivalent fractions using shaded circles.

Four circles divided into fractions, showing 1/2, 2/4, 3/6, and 4/8, each with shaded portions illustrating equivalent fractions.

Four circles divided into fractions, showing 1/2, 2/4, 3/6, and 4/8, each with shaded portions illustrating equivalent fractions.

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Show Answer Key & Explanations Step-by-step solution for: Teaching Equivalent Fractions - TeachableMath
- The image displays four circles, each divided into equal parts with some parts shaded.
- The first circle is divided into 2 parts, with 1 part shaded, representing the fraction 1/2.
- The second circle is divided into 4 parts, with 2 parts shaded, representing the fraction 2/4.
- The third circle is divided into 6 parts, with 3 parts shaded, representing the fraction 3/6.
- The fourth circle is divided into 8 parts, with 4 parts shaded, representing the fraction 4/8.
- The equation shown is 1/2 = 2/4 = 3/6 = 4/8.
- This demonstrates that these fractions are equivalent because they all represent the same portion of a whole.
- Each fraction can be simplified to 1/2 by dividing both the numerator and the denominator by their greatest common divisor:
- 2/4 simplifies to 1/2 (dividing by 2).
- 3/6 simplifies to 1/2 (dividing by 3).
- 4/8 simplifies to 1/2 (dividing by 4).
- Therefore, all the fractions are equal to 1/2.
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions.
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