To subtract the two fractions \(1 \frac{3}{4} - \frac{1}{3}\), we follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
\[
1 \frac{3}{4} = \frac{7}{4}
\]

### Step 2: Subtract the two fractions.
\[
\frac{7}{4} - \frac{1}{3}
\]

### Step 3: Find the least common denominator (LCD) of 4 and 3.
\[
\text{LCD} = 12
\]

### Step 4: Rewrite the fractions with the common denominator.
\[
\frac{7}{4} = \frac{21}{12}, \quad \frac{1}{3} = \frac{4}{12}
\]

### Step 5: Subtract the fractions.
\[
\frac{21}{12} - \frac{4}{12} = \frac{17}{12}
\]

### Step 6: Convert the improper fraction back to a mixed number (if desired).
\[
\frac{17}{12} = 1 \frac{5}{12}
\]

Thus, \(1 \frac{3}{4} - \frac{1}{3} = 1 \frac{5}{12}\).

Would you like further details or have any questions?

Here are some related questions:
1. How do you add mixed numbers?
2. What is the process for multiplying mixed fractions?
3. How do you convert a mixed number into an improper fraction?
4. What is the least common denominator, and how is it calculated?
5. How do you subtract mixed numbers with different denominators?

**Tip:** Always convert mixed numbers into improper fractions when performing operations like addition or subtraction to simplify the process.

Learn how to subtract the mixed number 1 ¾ and the fraction ⅓ using improper fractions and the least common denominator method. This detailed guide covers key concepts such as converting mixed numbers and finding the LCD. Suitable for students in Grades 5-6.

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