Adding Fractions and Whole Numbers
Adding Fractions and Whole Numbers
Adding Fractions is a special tool which helps us to learn about the procedure followed to learn
addition of fraction numbers. Now we first define fraction numbers. The numbers which can be
expressed in the form of a / b are called fraction numbers, where we have a and b as the whole
numbers and b <> 0. All the whole numbers are also called fraction numbers as any whole number n
can be written as n / a, which is in the form of numerator / denominator. Let us assume that any
fraction number a/b and another number 0 are added, then we get the sum of the two fraction numbers
as a/ b + 0 = a / b
Now let us take two like fractions such that the denominators of the two fraction numbers are equal.
Then we say that the sum will have the sum of the two numerators and the denominator will remain
same. So if a / b and c / b are any two fraction numbers, then we say that the sum will be:
a/b + c / b = ( a + c ) / b
In another situation, we take the two unlike fraction numbers. In this case, we will first convert the
two unlike fraction numbers into like fraction numbers. For this we will find the LCM of the
denominators of the two given fraction numbers and then the two fraction numbers will be converted
into their equivalent form such that the denominator of both the fraction numbers becomes equal to
the LCM.
Know More About :- Subtracting Whole Numbers


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After this the problem converts into the addition of simple fraction numbers with the same
denominator. Thus we say that if we have the following fractions to be added:
3/5 + 5/4
So LCM of denominators 4 and 5 will be 20 and so we will write them in the equivalent form by
making the denominators of both the fraction numbers as 20. We get
= ( 12 / 20 ) + ( 25 / 20 )
Now we will add the numerators and we will get the fraction as follows :
( 12 + 25)/ 20
= 37 / 20
This resultant fraction is improper fraction number and so we will convert the result into improper
fraction number. For this we will divide the numerator with the denominator and get:
1 whole 17 / 20 Ans
If we are given any two mixed fraction numbers to be added, then we can solve the given expression in
two ways. First is we simply add the two whole parts of the mixed fractions and then we will add the
fraction parts of the two numbers. On the other hand, we say that the two mixed fraction numbers can
be converted into the improper fraction numbers and then the sum of the two fraction numbers can be
added up to get the result. Every time we need to check the resultant fraction numbers and then we will
convert it to the mixed fraction number in case the resultant fraction number is in the form of improper
fraction number and get the result. There is process that are used for convert the fractions into the
decimal numbers and vice versa. We can define a fraction number that contain two parts basically that
are named as numerator and denominator as a / b in this faction a is known as the numerator part and b
is define as the denominator part and also in the decimal value that is a decimal point.
Read More About :- Limits and Derivatives


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