In the subject of mathematics there is a lot to learn and digest. Right from learning about numbers up until proving their existence. One such aspect in the learning process which is very elementary but equally important is fractions. These are numerical values of the form “a/b”, where a is called numerator and b is known as denominator. Now there are different types of fractions as seen earlier. One such type of fraction is equivalent fraction.
Understanding equivalent fraction:
Two or more fractions are called equivalent fractions if they reduce to same value, though their numerator and denominator being of different values. For example 5/10 & 2/4, 7/21 & 30/90 etc.
Finding equivalent fractions:
Equivalent fraction of any given fraction can be found by 4 different methods. Let us see those methods briefly:
- Multiplying by numerator: We can find equivalent fraction of any given ordinary fraction by multiplying its numerator and denominator by the numerator of the original fractions in maths. For getting a clearer picture of the method let us try to understand by an example. Suppose we want to find to find the equivalent fraction of 8/5 then we multiply its numerator and denominator by the original numerator that is 8. We get 8*8/5*8= 64/40. This on further simplification becomes 8/5. Hence we got equivalent fraction of 8/5 as 64/40.
- Multiplying by denominator: We can find equivalent fraction of any given ordinary fraction by multiplying its numerator and denominator by the denominator of the original fraction. For getting a clearer picture of the method let us try to understand by an example. Suppose we want to find to find the equivalent fraction of 8/5 then we multiply its numerator and denominator by the original denominator that is 5. We get 8*5/5*5= 40/25. This on further simplification becomes 8/5. Hence we got equivalent fraction of 8/5 as 64/40.
- Dividing by numerator: We can find equivalent fraction of any given ordinary fraction by dividing its numerator and denominator by the numerator of the original fraction. For getting a clearer picture of the method let us try to understand by an example. Suppose we want to find to find the equivalent fraction of 4/8 then we divide its numerator and denominator by the original numerator that is 4. We get (4/4)/(8/4)= 1/2. Also 4/8 becomes ½ on further simplification. Hence we got equivalent fraction of 4/8 as 1/2.
- Dividing by denominator: We can find equivalent fraction of any given ordinary fraction by dividing its numerator and denominator by the denominator of the original fraction. For getting a clearer picture of the method let us try to understand by an example. Suppose we want to find to find the equivalent fraction of 4/8 then we divide its numerator and denominator by the original denominator that is 8. We get (4/8)/(8/8)= 1/2. Also 4/8 becomes ½ on further simplification. Hence we got equivalent fraction of 4/8 as 1/2.
Learning equivalent fractions:
These concepts basically are taught to elementary grade students. But some time the intricacies of fractions and its some of the aspects can be quite intimidating and bewildering for the beginners. But Cuemath has got the backs of students in need. With the interactive and engaging interface of the website of Cuemath, children tend to focus more easily, and the process of learning becomes more fun for them and they tend to remember concepts for a longer time more efficiently. This eliminates the scope of children getting bored as the usual boring and tiresome concept learning is no longer in use.
Conclusion:
Upon retrospecting on the facts and details mentioned above we arrive at a respectable conclusion that fraction with being important to the subject mathematics is also equally important to the concept building aspect as it is recognized as a concept building block. The many important features listed are just a sample; the whole picture of its sheer importance is difficult to put in words