Adding and Subtracting Fractions having same denominator is much easier than the different denominator. We just need to add or subtract the numerator and write down the answer with the same denominator.
Here are some examples to add simple fractions, subtract simple fractions and how to multiply fractions for grade III.
Example 1: Calculate the addition of the fraction given below
(1/7) + (2/7) + (6/7) = ?
Solution: in the above problem denominator of all the three fractions are same so addition of these fractions can be done easily as
(1/7) + (2/7) + (6/7) = 9/7
We need to just add the numerators i.e 1 + 2 + 6 = 9
Example 2: Calculate the subtraction of the fractions given below
(7/5) – (3/5) =?
Solution: This is the simple subtraction of fractions and can be solved as
(7/5) – (3/5) = 4/5
Here we just need to subtract the numerator values i.e. 7 – 3 = 4 and denominator would become the same as in the problem.
To add/ subtract the fractions (read more fractions here) having different denominators can be difficult from the examples above shown. In this type of problems we have to make denominators the same so that they will look like the above problems. This is only the additional step for the fractions having different denominators.
To find the same denominator for all the fractions it is needed to calculate their LCM i.e. least common denominator. There are two methods to find out least common denominator.
• First method is that write some multiples of the denominators until we get the least common denominator.
• By second method LCD can be calculated via writing each denominator as a product of it’s prime factors.
Both will be clear after solving the following example.
Example 3: Calculate the addition of the following fractions
(8/5) – (3/15) = ?
Solution: Here both denominators are different. Thus to make them same on writing the multiple of both denominators; 5 (5, 10, 15, 20, 25…) and 15 (15, 30, 45, 60…). Here the number we are looking for is 15 because it’s the least common denominator.
Thus the solution of the problem
(8/5) – (3/15) = (8*3/5*3) – (3*1/15*1)
= (24/15) – (3/15)
= 21/15
It can further be simplified because it’s divisible by 3 i.e. 7/5.
In upcoming posts we will discuss about Fractions and decimals and Estimation in multiplication/division. Visit our website for information on Tamilnadu Board Political Science Sample Papers
Here are some examples to add simple fractions, subtract simple fractions and how to multiply fractions for grade III.
Example 1: Calculate the addition of the fraction given below
(1/7) + (2/7) + (6/7) = ?
Solution: in the above problem denominator of all the three fractions are same so addition of these fractions can be done easily as
(1/7) + (2/7) + (6/7) = 9/7
We need to just add the numerators i.e 1 + 2 + 6 = 9
Example 2: Calculate the subtraction of the fractions given below
(7/5) – (3/5) =?
Solution: This is the simple subtraction of fractions and can be solved as
(7/5) – (3/5) = 4/5
Here we just need to subtract the numerator values i.e. 7 – 3 = 4 and denominator would become the same as in the problem.
To add/ subtract the fractions (read more fractions here) having different denominators can be difficult from the examples above shown. In this type of problems we have to make denominators the same so that they will look like the above problems. This is only the additional step for the fractions having different denominators.
To find the same denominator for all the fractions it is needed to calculate their LCM i.e. least common denominator. There are two methods to find out least common denominator.
• First method is that write some multiples of the denominators until we get the least common denominator.
• By second method LCD can be calculated via writing each denominator as a product of it’s prime factors.
Both will be clear after solving the following example.
Example 3: Calculate the addition of the following fractions
(8/5) – (3/15) = ?
Solution: Here both denominators are different. Thus to make them same on writing the multiple of both denominators; 5 (5, 10, 15, 20, 25…) and 15 (15, 30, 45, 60…). Here the number we are looking for is 15 because it’s the least common denominator.
Thus the solution of the problem
(8/5) – (3/15) = (8*3/5*3) – (3*1/15*1)
= (24/15) – (3/15)
= 21/15
It can further be simplified because it’s divisible by 3 i.e. 7/5.
In upcoming posts we will discuss about Fractions and decimals and Estimation in multiplication/division. Visit our website for information on Tamilnadu Board Political Science Sample Papers
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