When fountain have different numbers in them, but have the same value, lock are called equivalent fractions.Let"s take it a look at a straightforward example of equivalent fractions: the fountain ½ and 2/4. This fractions have the very same value, but use various numbers. You deserve to see native the picture below that they both have actually the same value.

You are watching: How can you tell if two fractions are equivalent

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How can you uncover equivalent fractions?Equivalent fractions deserve to be found by multiplying or dividing both the numerator and also the denominator by the exact same number.How does this work?We understand from multiplication and department that as soon as you main point or division a number by 1 you acquire the exact same number. We additionally know that as soon as you have the exact same numerator and also denominator in a fraction, it constantly equals 1. Because that example:
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So as long as us multiply or division both the top and the bottom of a fraction by the same number, it"s just the very same as multiplying or splitting by 1 and also we won"t change the worth of the fraction.Multiplication example:
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Since us multiplied the portion by 1 or 2/2, the worth doesn"t change. The 2 fractions have actually the very same value and also are equivalent.Division example:
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You can additionally divide the top and also bottom by the exact same number to develop an equivalent fraction as presented above.
Cross MultiplyThere is a formula you can use to recognize if 2 fractions are equivalent. It"s referred to as the cross multiply rule. The ascendancy is presented below:
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This formula claims that if the molecule of one portion times the denominator that the other portion equals the denominator of the first fraction time the numerator of the 2nd fraction, then the fractions space equivalent. It"s a little bit confusing once written out, yet you deserve to see from the formula that it"s relatively simple to job-related out the math.If girlfriend get confused on what come do, simply remember the name of the formula: "cross multiply". You are multiplying throughout the two fractions favor the pink "X" presented in the instance below.

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Comparing FractionsHow can you call if one portion is bigger 보다 another?In some instances it"s pretty straightforward to tell. For example, ~ working with fractions because that a while, you probably know that ½ is bigger than ¼. It"s also easy to tell if the denominators space the same. Climate the fraction with the bigger numerator is bigger.However, occasionally it"s challenging to call which is bigger just by feather at two fractions. In these situations you deserve to use cross multiplication to to compare the two fractions. Below is the simple formula:
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Here is one example:
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Key points to RememberEquivalent fractions might look different, yet they have the exact same value.You can multiply or division to uncover an indistinguishable fraction.Adding or subtracting does not work-related for recognize an identical fraction.If you main point or divide by the peak of the fraction, you should do the very same to the bottom.Use cross multiplication to recognize if two fractions space equivalent.

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