**Simplifying Fractions: 1 3/4 - 3/8 as a Fraction**

When working with fractions, it's essential to understand how to add, subtract, multiply, and divide them. In this article, we'll focus on subtracting fractions, specifically 1 3/4 - 3/8 as a fraction.

### Converting Mixed Numbers to Improper Fractions

Before subtracting the fractions, we need to convert the mixed number 1 3/4 to an improper fraction.

**1 3/4 = ?**

To convert a mixed number to an improper fraction, multiply the whole number part (1) by the denominator (4) and then add the numerator (3).

**1 × 4 = 4**
**4 + 3 = 7**

So, 1 3/4 is equal to:

**7/4**

### Subtracting Fractions

Now that we have converted the mixed number to an improper fraction, we can subtract 3/8 from 7/4.

**7/4 - 3/8 = ?**

To subtract fractions with different denominators, we need to find the least common multiple (LCM) of the denominators. In this case, the LCM of 4 and 8 is 8.

**7/4 = 14/8** (multiply numerator and denominator by 2)
**14/8 - 3/8 = ?**

Subtract the numerators (14 - 3) and keep the same denominator (8).

**11/8**

So, 1 3/4 - 3/8 as a fraction is equal to:

**11/8**

### Conclusion

In conclusion, subtracting fractions requires converting mixed numbers to improper fractions and finding the least common multiple of the denominators. By following these steps, we can simplify fractions and perform arithmetic operations with confidence.

**Final Answer: 11/8**