Answer to Question #125459 in Algebra for Lucia Mokoena

Question

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

Answer 1

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:

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

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