**Subtracting Mixed Numbers: 1 3/4 - 1 3/8**

In this article, we will learn how to subtract two mixed numbers, specifically 1 3/4 and 1 3/8. Subtracting mixed numbers can be a bit tricky, but with a few simple steps, you'll be able to master it in no time.

**Understanding Mixed Numbers**

Before we dive into the subtraction process, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 1 3/4 is a mixed number where 1 is the whole number and 3/4 is the fraction.

**Converting Mixed Numbers to Improper Fractions**

To subtract mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Here's how we can convert our mixed numbers:

### 1 3/4

- Convert the whole number to a fraction: 1 = 4/4
- Add the fraction: 4/4 + 3/4 = 7/4

So, 1 3/4 is equal to 7/4.

### 1 3/8

- Convert the whole number to a fraction: 1 = 8/8
- Add the fraction: 8/8 + 3/8 = 11/8

So, 1 3/8 is equal to 11/8.

**Subtracting Improper Fractions**

Now that we have our mixed numbers converted into improper fractions, we can subtract them:

### 7/4 - 11/8

To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 8 is 8. So, we can convert 7/4 into an equivalent fraction with a denominator of 8:

- Multiply the numerator and denominator by 2: 7 × 2 / 4 × 2 = 14/8

Now we can subtract:

- 14/8 - 11/8 = 3/8

So, 1 3/4 - 1 3/8 is equal to 3/8.

**Final Answer**

In conclusion, the result of subtracting 1 3/4 and 1 3/8 is 3/8. With these simple steps, you can successfully subtract mixed numbers and convert them into improper fractions. Practice makes perfect, so be sure to try more examples to solidify your understanding of this concept!