Equivalent Fractions

What is Equivalent Fractions?

Equivalent fractions are two or more fractions that have the same value.

To make it easier to understand equivalent fractions, you can try it out right away with the “Equivalent Fractions” interactive tool below by dragging the pieces, observing their shapes, and seeing why the fractions remain the same.

See It Happen

Pick a fraction, then multiply the top and bottom by the same number.

Fraction A

Fraction B (multiplied)

− × 2 +

In the image Fraction A represents the fraction 12, and Fraction B represents the fraction 24. You can divide the box into even more pieces by pressing the round + button (if you press the ⊕ button to x3), then the fraction equivalent to 12 becomes 36; From the boxes in the image above, the areas of the shaded regions are equal, so we can say that these three fractions are equivalent. (12 = 23 = 36)

How to find equivalent fractions?

To find equivalent fractions, simply divide or multiply both the numerator and the denominator by the same number.

Examples:

25 and 615 are two equivalent fractions.

25100 and 520 are two equivalent fractions.

34 and 912 are two equivalent fractions.

Now that you’ve learned how to find equivalent fractions, it’s time to test your knowledge of equivalent fractions. Work through the equivalent fraction quiz below.

Quick Check

Score: 0 Streak: 0

Tap the fraction that equals the one shown above.

Which fraction is equivalent to:

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