**Subtracting Fractions: 1 3/4 - 1/2**

In this article, we will explore how to subtract fractions, specifically finding the result of **1 3/4 - 1/2**.

**Converting Mixed Numbers to Improper Fractions**

To subtract fractions, we need to convert the mixed number **1 3/4** to an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator.

**1 3/4** can be converted to an improper fraction as follows:

**1 3/4 = 7/4**

Now, let's convert the second fraction, **1/2**, to an improper fraction:

**1/2 = 2/2**

**Subtracting the Fractions**

Now that we have both fractions in their improper forms, we can subtract them:

**7/4 - 2/2**

To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of **4** and **2** is **4**. So, we can rewrite the second fraction with a denominator of **4**:

**2/2 = 4/4**

Now, we can subtract the fractions:

**7/4 - 4/4 = 3/4**

**The Result**

Therefore, the result of **1 3/4 - 1/2** is:

**3/4**

This is the final answer in its simplest form.