Answer the following questions by selecting the most appropriate option
While teaching the addition of fractions, it was observed by Mr. Singh that the following type of error is very common
`(2)/(3) + (2)/(5)= (4)/(10)`
Mr. Singh should take the following remedial action

Options

A. Give more practice of same type of problems
B. Give pictorial representation to clear the concept of addition of unlike fractions, followed by drill of same type of problems
C. Advise the students to work hard and practise the problems of fraction addition
D. Explain the concept of LCM of denomiator

Answer

To solve the problem regarding Mr. Singh's observation about the common error in adding fractions, we need to analyze the situation step by step.

### Step-by-Step Solution:

1. **Identify the Error**: The error observed by Mr. Singh is that students are adding the numerators and denominators separately, which leads to the incorrect expression:
\[ \frac{2}{3} + \frac{2}{5} = \frac{4}{10} \]
This is incorrect because the denominators are not the same.

2. **Understand the Concept of Addition of Fractions**: When adding fractions, the first step is to find a common denominator. The correct method involves:
- Finding the least common multiple (LCM) of the denominators (3 and 5 in this case).
- Converting each fraction to an equivalent fraction with the common denominator.

3. **Finding the LCM**: The LCM of 3 and 5 is 15. Therefore, we convert the fractions:
\[ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \]
\[ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \]

4. **Add the Converted Fractions**: Now that both fractions have the same denominator, we can add them:
\[ \frac{10}{15} + \frac{6}{15} = \frac{10 + 6}{15} = \frac{16}{15} \]

5. **Remedial Action**: To address the common error, Mr. Singh should consider using pictorial representations to help students visualize the addition of fractions. This will make it easier for them to understand why a common denominator is necessary and how to properly add fractions.

### Conclusion:
The most appropriate remedial action for Mr. Singh is to provide more pictorial representation to clarify the concept of adding unlike fractions.