Friday, March 30, 2007

Adding of unlike fractions

Update(16/6/07):I deleted the 'Backtrack' review.If I have time,I might create a new post about it.Sorry for any inconvenience
-Unlike fractions-
An unlike fraction is discovered when,for example,you try to add 2 fractions of more with different denominators.Here's a few with guides to explain to you better:
4/9+3/18=8/18+3/18
=?
You notice that 4/9 becomes 8/18.No,it ain't magic!Note that you must always change the two or one denominator(s) to the same number EQUALLY.
I am talking about the denominators now.Look at the denominator of 4/9 and 8/18.9x2=18.4x2=8.The denominator is the same as 3/18's.Checkpoint done..
Next,when you times the denominator by 2 to make 18,the numerator which is 4 has to times by 2.Its like when you times the denominator by 3,for example,the numerator must be times the same amount of number you did for the denominator(which is of course,3!).Tah-dah!Checkpoint 2,done!So the answer is 8/18+3/18=11/18(Note:You must not add the denominator!Basic fraction skills needed!).
2/6+2/4=4/12+6/12
=?
Surprised?This might seem hard but the question above just uses the same concept.Always times the denominators till you get the same number.One important thing is that you times them to the 'earliest' number.For example,when you times 4 and 3,the 'earliest' number that you can get is 12,although you can also get 24 each.Once you get both to have the same denominators,times the same number as you did for the denominator but now,for the numerator.Example,look at 2/6.If you times 6 by 2 to get 12,2 must also times 2(just like 6) and you get 4/12.Once you use this same concept for both fractions,add them all up.The answer for this question is 10/12.
-End-
Phew!Thanks for reading this post!

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