https://file.aiquickdraw.com/mathbot/file/1726267518650ocuaiw8p.jpg

The problem in the image is asking to find the result of the following operation:

\[
\frac{1}{4} - \left(-1 \frac{1}{2}\right)
\]

### Step-by-Step Solution:

1. **Simplify the Expression:**
   The operation involves subtracting a negative number, which is the same as adding the positive equivalent:
   
   \[
   \frac{1}{4} - \left(-1 \frac{1}{2}\right) = \frac{1}{4} + 1 \frac{1}{2}
   \]

2. **Convert the Mixed Number to an Improper Fraction:**
   Convert \(1 \frac{1}{2}\) to an improper fraction:
   
   \[
   1 \frac{1}{2} = \frac{3}{2}
   \]

   So the new expression becomes:

   \[
   \frac{1}{4} + \frac{3}{2}
   \]

3. **Find a Common Denominator:**
   The least common denominator (LCD) between 4 and 2 is 4. Rewrite \(\frac{3}{2}\) with denominator 4:

   \[
   \frac{3}{2} = \frac{6}{4}
   \]

4. **Add the Fractions:**

   Now, add the two fractions:

   \[
   \frac{1}{4} + \frac{6}{4} = \frac{7}{4}
   \]

5. **Convert the Result to a Mixed Number:**
   \(\frac{7}{4}\) can be written as the mixed number:

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

So, the final answer is:

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

---

Would you like more details on any step? Here are some follow-up questions you may find helpful:

1. How do you convert between mixed numbers and improper fractions?
2. Why do we need a common denominator when adding fractions?
3. Can you subtract negative fractions the same way as positive ones?
4. What is the difference between a proper and an improper fraction?
5. How do you simplify a fraction to its lowest terms?

**Tip:** Always convert mixed numbers to improper fractions when performing arithmetic operations. It makes calculations easier!

What is 1/4 - (-1 1/2)? Write the answer as a mixed number in simplest form.

Learn how to solve the fraction operation 1/4 - (-1 1/2) with detailed steps. This problem covers key concepts such as mixed number conversion and adding fractions with different denominators. Suitable for students in Grades 5-6.

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