Question #125459

A learner adds two fractions as follows 2/3 + 5/6 =7/9 define the problem which you have to work on with this learner

Expert's answer

The concept of LCM has to be understood first. When adding two fractions their respective denominators are used to get the LCM. In this scenario the denominators are 3 and 6. The LCM of 3 and 6 is 6. The LCM can be found using the table method or the factors method.

3 = 3 X 1

6 = 2 X 3

LCM = 1 X 2 X 3 = 6

The LCM is then put as the denominator of the answer, fractions are brought to the common denominator:

2/3+5/6=(4+5)/6=9/62/3 + 5/6 = (4+5)/6 = 9/6

9/6 is further simplified to 3/2 = 1 +1/2


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