Thursday, 7 June 2012

how to add fractions

In mathematics, fraction is defined as ratio of numerator to the denominator. It is in the form of X/Y where X i.e. the upper part denotes the numerator and Y i.e. the lower part denotes the denominator. The ratio of fraction is in the form of two integers. It can also be written as X ÷ Y.
Now let’s discuss how to add fractions:
There are two types of addition which are done in the fraction:
1. Adding the fractions having the same denominator.
2. Adding the fractions having the different denominator.
First we will discuss how to add when there is same denominator. It is very simple, just you have to follow some basic steps:
Step1: You must see that the denominator of the fraction must be same.
Step2: simply add the numerator i.e. the upper part of the fraction and put the answer above the denominator.
Step3: Solve the fraction.
Second we will discuss how to add when there is different denominator. It is very simple, just you have to follow some basic steps:
Step1: You must see that the denominator of the fraction must be different.
Step2: In this step, make the both denominator same by simply multiplying the numerator and denominator with the same number. This step is very important to solve the fraction of different denominator.
Step3: now just simplify the fractions.
In the above steps you have to multiply the numerator and denominator with the same amount, so that the value of fraction remains the same.
Example:
Add the given fractions ½ + ½ and ½ + ¼ ?
Answer:
 To solve :½ + ½ = ?
Step1:In this problem the denominator of the fraction is same.
Step2: So just add the numerator part and put the answer over the denominator.
                        i.e. ½ + ½ = 2/2
                                         = 1
 To solve: ½ + ¼ = ?
Step1: In this problem the denominator of the fraction is different.
Step2: multiply ½ with 2/2, in order to get the denominator same i.e. 2/4.
Step3: 2/4 + ¼ = ¾.
 Last how to add fractions and Line Plot are well discussed in Karnataka secondary education board.

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