Equivalent Fractions


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Fractions can be written in different ways without changing their values. These fractions are called equivalent fractions.

Look at the shaded areas in these two rectangles.

equivalent fractions

Both the shaded areas are of the same size.

So . They are called equivalent fractions.

You can produce many equivalent fractions by multiplying or dividing both the numerator and denominator by the same number.

Multiply both numerator and denominator by 2


 

Multiply both numerator and denominator by 3


 

Divide both numerator and denominator by 5


 

The following diagram shows how to form equivalent fractions by multiplying or dividing. Scroll down the page for more examples and solutions.
Equivalent Fractions
 




The following video will explain how to get equivalent fractions and how to reduce fractions in great detail.

Finding Equivalent Fractions

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget



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