**Simplifying the Fraction: 6/1 - 3/8**

In this article, we will simplify the fraction 6/1 - 3/8. To do this, we need to follow the order of operations (PEMDAS) and perform the subtraction operation.

**Step 1: Convert the Mixed Number to an Improper Fraction**

First, we need to convert the mixed number 6/1 to an improper fraction. Since 6/1 is equal to 6, we can write it as:

6/1 = 6/1

**Step 2: Subtract the Fractions**

Next, we need to subtract 3/8 from 6/1. To do this, we need to find a common denominator between the two fractions. The least common multiple (LCM) of 1 and 8 is 8. So, we can rewrite 6/1 as:

6/1 = 48/8

Now, we can subtract 3/8 from 48/8:

48/8 - 3/8 = 45/8

**Simplified Fraction**

Therefore, the simplified fraction of 6/1 - 3/8 is:

**45/8**

In conclusion, we have successfully simplified the fraction 6/1 - 3/8 to 45/8.