Thursday 12 December 2013

Adding & Subtracting Fractions With Like Denominators 

Adding Fractions With Like Denominators:

1) The first thing that you have to keep in mind is that when you are adding fractions with like denominators (the bottom numbers to your question) both denominators to your question are equivalent (the same).

2) Your second step is to focus on your numerators (the top numbers to your question) because if your denominators are equivalent then in the end the denominators will stay the same, so what you have to focus on when you are adding fractions with like denominators is your numerator because they are not equal. ex. ( 7/12+4/12) both numerators are not equivalent but your denominators are.

3) Now your last step is to add your numerators while your denominators are equivalent already so they stay the same:    7/12 + 4/12 = ?
                          numerators: 7 & 4   denominators: 12 & 12 
all you have to do since the denominators are the same is to add the numerators so 7 + 4 = 11 
and your denominator is 12 so your answer is   11/12
7/12 + 4/12 = 11/12 


Subtracting Fractions With Like Denominators:

1) You also have to remember that your denominators are the same so they will not be changed.

2) Your only difference is that you are subtracting your numerators and not adding them, so in the end your answer will be different. 

3) So your last step is going to change: 7/12 - 4/12 = ?
                           numerators: 7 & 4   denominators 12 & 12
all you have to do in this situation now is subtract the numerators instead of adding them so 7 - 4 = 3 and your denominator stays the same which is 12 so your answer becomes 3/12
                                                                 7/12 - 4/12 = 3/12

Now you know how to add and subtract fractions with like denominators!

Try These:
 
Adding:                              Subtracting:

1) 2/5 + 3/5                           1) 3/6 - 1/6
2) 10/20 + 8/20                     2) 7/15 - 2/15
3) 4/10 + 1/10                       3) 9/20 - 8/20 


 

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