Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole. Equivalent fractions represent the same portion of the whole.
For each fraction, we can find its equivalent fraction by multiplying both numerator and denominator with the same number. For example, we have to find the third equivalent fraction of ⅔; then we have to multiply 2/3 by 3/3. Hence, 2/3 × (3/3) = 6/9, is the fraction equivalent to 2/3. Equivalent fractions state that two or more than two fractions are said to be equal if both results the same fraction after simplification. Let us say, a/b and c/d are two fractions, after the simplification of these fractions, both result in equivalent fractions, say e/f, then they are equal to each other.
For example, the equivalent fraction of 1/3 is 5/15, because if we simplify 5/15, then the resulted fraction is the same.
Equivalent Fractions example
The biggest question here can be, why do they have equal values in spite of having different numbers?
The answer to this question is that, as the numerator and denominator are not co-prime numbers, therefore they have a common multiple, which on division gives exactly the same value.
Example of Equivalent Fraction
Take for an example:
1/2 = 2/4 = 4/8
But, it is clearly seen that the above fractions have different numerators and denominators.
Answers & Comments
Verified answer
Answer:
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole. Equivalent fractions represent the same portion of the whole.
For each fraction, we can find its equivalent fraction by multiplying both numerator and denominator with the same number. For example, we have to find the third equivalent fraction of ⅔; then we have to multiply 2/3 by 3/3. Hence, 2/3 × (3/3) = 6/9, is the fraction equivalent to 2/3. Equivalent fractions state that two or more than two fractions are said to be equal if both results the same fraction after simplification. Let us say, a/b and c/d are two fractions, after the simplification of these fractions, both result in equivalent fractions, say e/f, then they are equal to each other.
For example, the equivalent fraction of 1/3 is 5/15, because if we simplify 5/15, then the resulted fraction is the same.
Equivalent Fractions example
The biggest question here can be, why do they have equal values in spite of having different numbers?
The answer to this question is that, as the numerator and denominator are not co-prime numbers, therefore they have a common multiple, which on division gives exactly the same value.
Example of Equivalent Fraction
Take for an example:
1/2 = 2/4 = 4/8
But, it is clearly seen that the above fractions have different numerators and denominators.
Explanation:
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