A child solved a problem :$\frac{1}{2}+\frac{1}{3}=\frac{2}{5}$. What is the most appropriate inference drawn from the solution ?

The correct option is Child has extended the concept of addition of natural numbers to addition of fractions.

Step-by-step Explanation:

1. Analyzing the child's calculation:
The child solved the problem as follows:

$\frac{1}{2}+\frac{1}{3}=\frac{1+1}{2+3}=\frac{2}{5}$

2. Identifying the misapplication of rules:
When adding natural numbers, a child simply adds the two numbers together (e.g., 1 + 1 = 2 and 2 + 3 = 5).
In this problem, the child added the numerators directly (1 + 1 = 2) and the denominators directly (2 + 3 = 5), treating them as independent natural numbers rather than part of a unified fractional value.

3. Conclusion:
This misconception occurs because the child has overgeneralized or extended the familiar concept of adding natural numbers directly to the addition of fractions, without finding a common denominator (L.C.M.).