https://file.aiquickdraw.com/mathbot/file/1726234748294sttmpdzu.jpg

Let's solve the question.

We need to represent the difference:

\[
\frac{7}{12} - \frac{1}{4}
\]

### Step 1: Find a common denominator

The least common denominator (LCD) between 12 and 4 is 12. We can rewrite \(\frac{1}{4}\) as an equivalent fraction with denominator 12:

\[
\frac{1}{4} = \frac{3}{12}
\]

### Step 2: Subtract the fractions

Now subtract the two fractions:

\[
\frac{7}{12} - \frac{3}{12} = \frac{7 - 3}{12} = \frac{4}{12}
\]

### Step 3: Simplify the result (if needed)

The fraction \(\frac{4}{12}\) can be simplified by dividing both the numerator and the denominator by 4:

\[
\frac{4}{12} = \frac{1}{3}
\]

### Conclusion:

The two fractions involved are \(\frac{7}{12}\) and \(\frac{1}{4}\), and the result after simplification is \(\frac{1}{3}\).

### Answer:

The two fractions that could represent this are:

- Option A: \(\frac{6}{12}\) 
- Option B: \(\frac{4}{12}\)

Hence, options **B and C** are correct.

Would you like further clarification or details on any part of the solution?

Here are five related questions to explore:

1. How do you find the least common denominator of two fractions?
2. How can you check if a fraction can be simplified?
3. What is the process for adding fractions with different denominators?
4. How do you convert improper fractions to mixed numbers?
5. How would you subtract fractions with variables in the numerator?

**Tip:** When subtracting fractions, always ensure the denominators are the same before performing the operation.

Which two fractions could be used to represent the difference of 7/12 − 1/4?

Learn how to subtract fractions with different denominators by finding the least common denominator. The problem focuses on subtracting 7/12 − 1/4 and simplifying the result. Perfect for students in Grades 5-7.

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