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CC.1 Identify equivalent fractions

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What are equivalent fractions?

Equivalent fractions are fractions that represent the same value or amount, even though they may look different.

Examples:
  • 1/2 is the same as 2/4
  • 3/6 is the same as 1/2
  • 4/8 is the same as 1/2
Note

Equivalent fractions may look different, but they show the same part of a whole.

How to identify equivalent fractions

You can find equivalent fractions by multiplying or dividing the numerator and denominator of a fraction by the same number.

Steps:
  • Start with a fraction, like 1/2
  • Multiply the numerator and denominator by 2 → 2/4
  • Multiply them by 3 → 3/6
Note

Always use the same number for both the numerator and denominator. This keeps the fraction’s value the same.

Visual models of equivalent fractions

Pictures, number lines, or shapes can help you see why fractions are equivalent.

Examples:
  • A circle cut into 2 equal parts: shading 1 part shows 1/2
  • The same circle cut into 4 equal parts: shading 2 parts shows 2/4
  • Both show the same amount of the circle shaded.
Note

Visual models make it easier to understand that equivalent fractions cover the same space or number line distance.

Common equivalent fractions to remember

Here are some common fractions and their equivalents that you will see often:

Fraction List:
  • 1/22/4, 3/6, 4/8
  • 1/32/6, 3/9
  • 1/42/8, 3/12
  • 2/34/6, 6/9
Note

Memorizing a few common equivalent fractions will help you compare and work with fractions faster.

Using equivalent fractions in math problems

Equivalent fractions are useful for comparing fractions, adding or subtracting fractions, and solving real-world problems.

Examples:
  • To compare 1/2 and 3/6, change them to the same denominator. Both equal the same value.
  • When adding 1/4 + 1/2, change 1/2 into 2/4, then add: 1/4 + 2/4 = 3/4.
Note

When fractions have the same denominator, it is easier to add, subtract, or compare them.