Ever heard of the word denominator? Let us recall that denominator is associated with fractions. A fraction, as we have already learnt has two parts, a numerator & a denominator. A fraction is expressed as Numerator / Denominator.
Also, we will refer to another term LCM here, which is the least common multiple. LCM can be found when we have at least two numbers whose multiples are listed.
Then, what is lowest common denominator? To understand the concept of lowest common denominator, let us recall that fractions may be like or unlike fractions. The fractions are like when they have the same denominator & on the other hand, they are unlike if they have different denominators.
Also, to use the mathematical operations of addition & subtraction on fractions, we need to have like fractions. What when the fractions to be added or subtracted are unlike? In such situations, we first find the LCM of the denominators of the unlike fractions. Such LCM of the denominators is called lowest common denominator.
The lowest common denominator infractions is useful in making the fractions like , by converting the given unlike fractions to fractions with same denominator , which is done by changing the unlike fractions to equivalent fractions , all with lowest common denominator as the denominator .
For example: To add the fractions 2/7 , 3/5 , 5/10 ; we first need to make their denominators same . This can be done by finding the LCM of the denominators of all these fractions, viz., 7, 5 ,10 which comes to 70 . Thus, 70 is the lowest common denominator of the given fractions & the equivalent fractions will be given by:
2/7= (2*10)/(7*10) = 20/70
3/5= (3*14)/(5*14) = 42/70
5/10= (5*7)/(10*7) = 35/70
So, now we have the fractions with same lowest common denominator.
Go online for more help on 4th grade math & also for cbse class 8 syllabus and In the next session we will discuss about Subtracting Mixed Numbers.
Also, we will refer to another term LCM here, which is the least common multiple. LCM can be found when we have at least two numbers whose multiples are listed.
Then, what is lowest common denominator? To understand the concept of lowest common denominator, let us recall that fractions may be like or unlike fractions. The fractions are like when they have the same denominator & on the other hand, they are unlike if they have different denominators.
Also, to use the mathematical operations of addition & subtraction on fractions, we need to have like fractions. What when the fractions to be added or subtracted are unlike? In such situations, we first find the LCM of the denominators of the unlike fractions. Such LCM of the denominators is called lowest common denominator.
The lowest common denominator infractions is useful in making the fractions like , by converting the given unlike fractions to fractions with same denominator , which is done by changing the unlike fractions to equivalent fractions , all with lowest common denominator as the denominator .
For example: To add the fractions 2/7 , 3/5 , 5/10 ; we first need to make their denominators same . This can be done by finding the LCM of the denominators of all these fractions, viz., 7, 5 ,10 which comes to 70 . Thus, 70 is the lowest common denominator of the given fractions & the equivalent fractions will be given by:
2/7= (2*10)/(7*10) = 20/70
3/5= (3*14)/(5*14) = 42/70
5/10= (5*7)/(10*7) = 35/70
So, now we have the fractions with same lowest common denominator.
Go online for more help on 4th grade math & also for cbse class 8 syllabus and In the next session we will discuss about Subtracting Mixed Numbers.
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