The Exercise Statement And Correct Answer Are Given. Identify Which Operation Should Be Used To Get The Correct Answer.$\frac{6}{25} - \frac{3}{25}; \text{ Answer: } \frac{9}{25}$Choose The Correct Operation Below:- Multiplication- Division-

Introduction

In mathematics, operations such as addition, subtraction, multiplication, and division are used to solve various problems. However, when dealing with fractions, it's essential to choose the correct operation to obtain the correct answer. In this article, we will analyze the given exercise statement and identify the correct operation to get the correct answer.

The Exercise Statement

The exercise statement is given as:

$\frac{6}{25} - \frac{3}{25}; \text{ Answer: } \frac{9}{25}$

Understanding the Problem

The problem involves subtracting two fractions with the same denominator, which is 25. To solve this problem, we need to understand the concept of subtracting fractions with the same denominator.

Subtracting Fractions with the Same Denominator

When subtracting fractions with the same denominator, we simply subtract the numerators (the numbers on top) and keep the same denominator. In this case, we have:

$\frac{6}{25} - \frac{3}{25} = \frac{6-3}{25} = \frac{3}{25}$

However, the correct answer is given as $\frac{9}{25}$. This means that the correct operation is not subtraction, but rather another operation.

Analyzing the Correct Answer

Let's analyze the correct answer, $\frac{9}{25}$. We can see that the numerator is 9, which is 6 + 3. This suggests that the correct operation is addition, not subtraction.

Conclusion

Based on the analysis, we can conclude that the correct operation to get the correct answer is addition, not subtraction. The correct operation is:

$\frac{6}{25} + \frac{3}{25} = \frac{9}{25}$

Choosing the Correct Operation

So, which operation should be used to get the correct answer? The correct operation is:

• Addition: $\frac{6}{25} + \frac{3}{25} = \frac{9}{25}$

The other options are incorrect:

• Multiplication: $\frac{6}{25} \times \frac{3}{25} = \frac{18}{625}$
• Division: $\frac{6}{25} \div \frac{3}{25} = 2$

Discussion

In this article, we analyzed the given exercise statement and identified the correct operation to get the correct answer. We concluded that the correct operation is addition, not subtraction. This exercise highlights the importance of choosing the correct operation when dealing with fractions.

Conclusion

In conclusion, when dealing with fractions, it's essential to choose the correct operation to obtain the correct answer. In this case, the correct operation is addition, not subtraction. By understanding the concept of subtracting fractions with the same denominator and analyzing the correct answer, we can identify the correct operation and solve the problem correctly.

Recommendations

• When dealing with fractions, always choose the correct operation to obtain the correct answer.
• Understand the concept of subtracting fractions with the same denominator.
• Analyze the correct answer to identify the correct operation.

Final Thoughts

Introduction

In our previous article, we analyzed the given exercise statement and identified the correct operation to get the correct answer. We concluded that the correct operation is addition, not subtraction. In this article, we will provide a Q&A section to further clarify the concept and provide additional examples.

Q&A

Q: What is the correct operation to get the correct answer? A: The correct operation is addition, not subtraction.

Q: Why is addition the correct operation? A: Addition is the correct operation because the numerator of the correct answer is 9, which is 6 + 3. This suggests that the correct operation is addition, not subtraction.

Q: What is the difference between subtracting fractions with the same denominator and adding fractions with the same denominator? A: When subtracting fractions with the same denominator, we simply subtract the numerators (the numbers on top) and keep the same denominator. When adding fractions with the same denominator, we simply add the numerators (the numbers on top) and keep the same denominator.

Q: Can you provide an example of subtracting fractions with the same denominator? A: Yes, here is an example:

$\frac{4}{9} - \frac{2}{9} = \frac{4-2}{9} = \frac{2}{9}$

Q: Can you provide an example of adding fractions with the same denominator? A: Yes, here is an example:

$\frac{3}{8} + \frac{2}{8} = \frac{3+2}{8} = \frac{5}{8}$

Q: What if the fractions have different denominators? A: If the fractions have different denominators, we need to find the least common multiple (LCM) of the denominators and convert both fractions to have the same denominator.

Q: Can you provide an example of finding the LCM of two denominators? A: Yes, here is an example:

Let's say we want to add $\frac{1}{4}$ and $\frac{1}{6}$. The denominators are 4 and 6. The LCM of 4 and 6 is 12. We can convert both fractions to have a denominator of 12:

$\frac{1}{4} = \frac{3}{12}$

$\frac{1}{6} = \frac{2}{12}$

Now we can add the fractions:

$\frac{3}{12} + \frac{2}{12} = \frac{5}{12}$

Q: What if I'm still unsure about the correct operation? A: If you're still unsure about the correct operation, try to analyze the correct answer and see if you can identify the correct operation. You can also try to simplify the problem by finding the LCM of the denominators and converting both fractions to have the same denominator.

Conclusion

In this article, we provided a Q&A section to further clarify the concept and provide additional examples. We concluded that the correct operation is addition, not subtraction, and provided examples of subtracting and adding fractions with the same denominator. We also discussed finding the LCM of two denominators and converting fractions to have the same denominator. By following the steps outlined in this article, you can become more confident in your math skills and solve similar problems.