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Equivalent Fractions

Our Equivalent Fractions Calculator helps you find fractions that represent the same value as your original fraction. Just enter your fraction, and we'll show you several equivalent forms, making it easier to understand and work with fractions.

Top number of the fraction

Bottom number of the fraction (cannot be zero)

How it works

Our Equivalent Fractions Calculator helps you find fractions that represent the same value as your original fraction. Just enter your fraction, and we'll show you several equivalent forms, making it easier to understand and work with fractions.


The Formula
To find an equivalent fraction, multiply or divide both the numerator and the denominator by the same non-zero number. Example: 1/2 = (1 * 2) / (2 * 2) = 2/4
1/2 = (1 * 3) / (2 * 3) = 3/6

Worked Example
  1. Finding Equivalent Fractions for 3/5

    Let's say you have the fraction 3/5. To find equivalent fractions, you can multiply both the numerator (3) and the denominator (5) by the same number. If we multiply by 2, we get (3*2)/(5*2) = 6/10. If we multiply by 3, we get (3*3)/(5*3) = 9/15. Both 6/10 and 9/15 are equivalent to 3/5.


Tips, Assumptions & Limitations
  • Equivalent fractions always represent the same part of a whole, even if they look different.
  • You can multiply or divide by any whole number (except zero) to find equivalent fractions.
  • This concept is crucial for adding and subtracting fractions with different denominators.
FAQ

An equivalent fraction is a fraction that has a different numerator and denominator but represents the exact same value as the original fraction. For example, 1/2 and 2/4 are equivalent because they both represent half of a whole.

You find equivalent fractions by multiplying or dividing both the numerator (top number) and the denominator (bottom number) by the same non-zero whole number. This keeps the fraction's value unchanged.

Equivalent fractions are super important, especially when you need to add or subtract fractions that have different denominators. You use them to find a common denominator, which is the first step in those operations.

Yes, our calculator works for both proper and improper fractions. Just enter your numerator and denominator, and it will generate equivalent forms for you.

Companion article

Equivalent Fractions Calculator: Find Equal Parts of a Whole

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