![]() Given that the fractions 5/16 and x/12 are equivalent calculate the value of x.įind the value of x if the fractions 3/5 and 4/x are equivalent. Fractions of a number with the same value can be written in different ways. Carrying out addition or subtraction on the fraction only changes the value of a fraction. The equivalent fraction can only be generated by multiplication or division by a common factor. It's a bit confusing when written out, but you can see from the formula that it's fairly simple. Multiplying both the numerator and denominator with 2, 3 and 4 gives: The rule is shown below: This formula says that if the numerator of one fraction times the denominator of the other fraction equals the denominator of the first fraction times the numerator of the second fraction, then the fractions are equivalent. How can that be As long as you multiply or divide the top and. Key Point: You can write any whole number as an equivalent fraction just by dividing it. Fractions that are the same in value but look different are known as equivalent fractions. For example, think about the fraction 1/2. They have different numerators and denominators, but their fractional values are the same. And therefore, equivalent fractions have an equal value when simplified. Yes, we can just divide it by 1 Writing Whole Numbers as Fractions. Equivalent fractions are fractions with different numbers representing the same part of a whole. It has been shown that either dividing the denominator or multiplying the numerator with the same factor does not alter the value of the fraction. In this case, if we simplify 2/4, the result 1/2 again. You can notice that yet the above two factions have different integers, but after dividing both the numerator and denominator by a common factor, the result is: Therefore they have a common multiple which on division produces the same value. Interactive equivalent fractions games for pre-kindergarten to grade 5 kids online aligned with Common Core Standards. The answer to this query is that the fractions contain numerators and denominators that are not co-prime numbers. Now the question arises for why these fractions are equal despite having different numbers. Suppose a/b and c/d are two fractions, then the fractions are equivalent only if the simplification of each fraction results in e/f.įor example, a fraction 1/3 has an equivalent of 5/15 because of simplification of 5/15 results in the same value as 1/3. What are Equivalent Fractions?Įquivalent fractions are two or more fractions that result in the same value after simplification. The fractions will generate the same value if cancellation by a common factor is made on both the numerator and denominator. The equivalent fractions have an equal amount or value after simplification of both their numerator and denominators. Equivalent fractions seem to be different at a look, but they have similar or equal value.įor example, the equivalent fractions for 1/4 are: ![]() In mathematics, equivalent fractions are simply fractions with different numerators and denominators but represent the same proportion of a whole. Equivalent Fractions – Explanation & Examples
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