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Equivalent Fractions

Discover how different fractions can represent the same value.

20 minGrade 6

Introduction

Equivalent fractions are different fractions that represent the same value. Understanding this concept is crucial for comparing and working with fractions.

What are Equivalent Fractions?

Fractions are equivalent when they represent the same amount, even though they look different.

Example

1/2 = 2/4 = 3/6 = 4/8 - all represent the same half

Creating Equivalent Fractions

Multiply or divide both numerator and denominator by the same number.

Example

2/3 × 2/2 = 4/6 (multiply both by 2)

Finding the Simplest Form

Divide both parts by their greatest common factor (GCF).

Example

8/12 ÷ 4/4 = 2/3 (GCF of 8 and 12 is 4)

Key Takeaways

  • 1Equivalent fractions have the same value
  • 2Multiply or divide both parts by the same number
  • 3The simplest form has no common factors

Practice Problems

Test your understanding with these questions

1

Which fraction is equivalent to 2/3?

2

Simplify 6/9 to its lowest terms.