Subtracting Mixed Numbers Subtracting Mixed Numbers Numbers are the basic need for the mathematical process. We are going to learn about how to perform mathematical operations on the mixed numbers. Here we start with Subtracting Mixed Numbers. When we talk about subtracting mixed numbers, we will first convert the mixed numbers in the form of improper fraction numbers. Once the mixed numbers are converted in the form of improper fraction numbers, we say that the denominators of the two numbers need to be same. It means to do the addition or subtraction on the improper fraction numbers is only possible when we have two fraction numbers as like fractions. So we check if the subtrahend and the minuend are like fractions or not. If they are unlike fraction numbers, then we come to the conclusion that the fraction numbers must be converted into their equivalent form such that the denominators of the two fractions become same.
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For this we will first find the LCM of the two denominators and then the fraction will be converted in the form of equivalent fraction such that the denominator becomes equal to the LCM. Now if becomes the simple problem of subtraction and can be solved by simply subtracting the numerator of the subtrahend from the numerator of the minuend. Now we will see how will we perform the operation of Subtracting Mixed Numbers. Let us take the two numbers as follows : Subtract 3 ¼ from 5 2/3 This expression can be written as 5 2/3 – 3 ¼ First we will convert both the mixed fraction numbers in the form of improper fraction numbers. So we proceed as follows : ( 5 * 3 + 2 ) / 3 - ( 4 * 3 + 1 ) / 4 = 17 / 3 - 13 / 4 Now both the fraction numbers are in the form of improper fractions. More over the two fractions are unlike fraction numbers. So we will first find the LCM of the two denominators 3 and 4. So we will get 12 as the LCM. Now we write 17 / 3 as an equivalent fraction with the denominator 12 , for this the numerator and the denominator will be multiplied by 4 and we get : ( 17 * 4 ) / 12 and another fraction will be written as ( 13 * 3 ) / 12 = ( 68 / 12) – ( 39 / 12 ) = ( 68 – 39 ) / 12
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= 29 / 12 Now we observe that the HCF of the numerator and the denominator is 1, so we say that the result is in its lowest form. But the resultant fraction is improper fraction, so it can be converted into the mixed form as follows: Divide 29 by 12 , we get 2 as the quotient and 5 as the remainder. So we write the fraction 29 / 12 as 2 whole 5 /12 Ans. In this way we can find the difference between the two fraction numbers and get the result. We can learn how to plot Different Types of Graphs, with the given data which can help us to predict the conclusions by the help of online math help given by math online tutors. We can also get sample papers for physics CBSE board available on the CBSE website to get the idea of the examination pattern.
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