Friday, May 2, 2014

Explain why 1/12+1/12+1/12 is the same as 1/4?

This question requires the use addition of fractions. When adding fractions it is important to note that it is important that the denominator be the same. If they are not the same, then it is important to find the lowest common multiple (LCM). 


The example given is as follows: 


`(1/12) + (1/12) + (1/12)`


In the above example, we it can be seen that the denominator is the same therefore we can now solve the problem: 


When adding fractions, we add the numerator and keep the denominator as follows:


`(1/12) + (1/12) + (1/12) = (3/12)`  


So our answer is 3/12, we now need to simplify. We can simplify by dividing both the number by 3. We are dividing by '3' because the highest common factor between 3 and 12 is the number '3' : 


`((3/3))/((12/3)) = 1/4`

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