6. Two marks example problem II

Venkat went to buy milk. He bought \(\frac{1}{2}\) litre first and then he bought \(\frac{1}{4}\) litre. He wanted to find how much milk he bought altogether? In order to find the total quantity of milk, he has to add \(\frac{1}{2}\) and \(\frac{1}{4}\). That is \(\frac{1}{2} + \frac{1}{4}\) . The teacher had given the same situation mentioned above and asked two students Ravi and Arun to solve it. They came out with the answers for \(\frac{1}{2}+\frac{1}{4}\).

 

Ravi's Way	Arun's Way
To find the value of \(\frac{1}{2} + \frac{1}{4}\)   LCM\((2,4) = 4\)   \(\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}\)    \(\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4}\)   \(= \frac{2 + 1}{4 + 4}\)   \(= \frac{3}{8}\).	To find the value of \(\frac{1}{2} + \frac{1}{4}\)   LCM\((2,4) = 4\)   \(\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}\)    \(\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4}\)   \(= \frac{2 + 1}{4}\)   \(= \frac{3}{4}\).

 

Who's way of apprach is correct? ArunRavi.

Reason: While adding two like fractions the total number of denominator remains the same and the two numerators are added.While adding two like fraction the two denominators are added separately and the two numerators are added separately.