Equivalent fractions are the fractions the have various numerator and also denominator but are equal to the very same value. Because that example, 2/4 and also 3/6 both are equal come ½. Hence, castle are equivalent in nature. These fractions represent the exact same proportion the the whole. Likewise learn prefer Fractions unlike Fractions, here.
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For each fraction, we can uncover its equivalent portion by multiply both numerator and denominator v the very same number. For example, we have actually to uncover the 3rd equivalent fraction of ⅔; climate we need to multiply ⅔ by 3/3. Hence,
⅔ x (3/3) = 6/9
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Equivalent fractions Definition
Equivalent fractions state that 2 or much more than two fractions are claimed to be equal if both results are the same portion after simplification. Let us say, a/b and also c/d space two fractions, after ~ the leveling of these fractions, both result in indistinguishable fraction, to speak e/f, then they room equal to every other.
For example, the equivalent fraction of 1/3 is 5/15, due to the fact that if we leveling 5/15, climate the resulted portion is the same.
The best question here have the right to be, why perform they have equal values regardless of having different number?
The answer to this inquiry is that, together the numerator and also denominator room not co-prime numbers, therefore they have actually a common multiple, i beg your pardon on department gives specifically the same value.
Take because that an example:
1/2 = 2/4 = 4/8
But, it is clearly seen the the over fractions have different numerators and denominators.
Dividing both numerator and denominator by their common factor, us have:
\(\large \frac4 \div 48 \div 4\)
In the same way, if we leveling 2/4, again get 1/2.
\(\large \frac2\div 24\div 2\)
How to discover Equivalent Fractions
These fractions space actually the same because when us multiply or divide both the numerator and the denominator by the very same number, the worth of the fraction actually no change. Therefore, identical fractions, when diminished to their streamlined value, will certainly all it is in the same.
For example, think about the fraction 1/5
Multiplying numerator and also denominator v 2, we gain 1/5 = 2/10
Multiplying numerator and also denominator through 3, we obtain 1/5 = 3/15
Multiplying numerator and also denominator with 4, we obtain 1/5 = 4/20
Therefore, we deserve to conclude that,
1/5 = 2/10 = 3/15 = 4/20
Keep in mind the we deserve to only main point or division by the exact same numbers to acquire an equivalent fraction and not addition or subtraction. Leveling to get equivalent numbers can be excellent till a point where both the numerator and also denominator should still be totality numbers.
Try the adhering to question to check your knowledge of the ide of tantamount fractions.
Equivalent fountain Chart
|Unit Fraction||Equivalent Fractions|
|1/2||2/4, 3/6, 4/8..|
|1/3||2/6, 3/9, 4/12..|
|1/4||2/8, 3/12, 4/16..|
|1/5||2/10, 3/15, 4/20,..|
|1/6||2/12, 3/18, 4/24,..|
|1/7||2/14, 3/21, 4/28,..|
|1/8||2/16, 3/24, 4/32,..|
|1/9||2/18, 3/27, 4/36,..|
Questions and Answers
Example 1: The offered fractions 5/16 and x/12 are tantamount fractions, then find the worth of x.
Given: 5/16 = x/12
x = (5 x 12)/16
x = 60/16
Therefore, the worth of x is 15/4.
Example 2: two fractions 3/5 and 4/x are equivalent. Find the value of x.
3/5 = 4/x
x = (4 x 5)/3
x = 20/3
Example 3: What fountain are very same as ¼?
Solution: To find equivalent fractions of ¼ we must multiply the numerator and also denominator through the same numbers. Hence,
¼ x (2/2) = 2/8
¼ x (3/3) = 3/12
¼ x (4/4) = 4/16
¼ x (5/5) = 5/20
And for this reason on.
Example 4: What is the fourth equivalent fraction of ¾?
Answer: To find the 4th equivalent portion of ¾, we must multiply numerator and denominator by 4. Hence,
¾ x (4/4) = 12/16
Have persisting doubts on any kind of topic? shot reaching out to our mentors just with BYJU’S – The discovering App.
Practice QuestionsFind the equivalent fraction of 8/10Write the portion three-sevenths together an equivalent portion with a denominator the 21.Write the portion five-eighth together an equivalent portion with a denominator of 24.
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Frequently Asked inquiries – FAQs
What are tantamount fractions?
Two or much more fractions which have various numerator and also denominator but result in the exact same value after leveling are claimed to be equivalent fractions.
What are the examples of tantamount fractions?
The examples of identical fractions are:2/4 and also 3/6⅓ and also 3/9⅕ and 5/25¾ and also 12/16