**Simplifying Fractions: 65/4 x 1/2**

When working with fractions, it's essential to understand how to multiply and simplify them to get the correct answer. In this article, we'll explore how to simplify the fraction 65/4 x 1/2.

**Multiplying Fractions**

To multiply fractions, we need to follow the rule:

**a/b × c/d = (a × c) / (b × d)**

In our case, we have:

**65/4 × 1/2**

Using the multiplication rule, we get:

**(65 × 1) / (4 × 2)**

**Simplifying the Fraction**

Now, let's simplify the fraction:

**(65 × 1) = 65**
**(4 × 2) = 8**

So, our fraction becomes:

**65/8**

**Further Simplification**

To see if we can simplify the fraction further, we need to find the greatest common divisor (GCD) of 65 and 8.

The GCD of 65 and 8 is 1, which means our fraction is already in its simplest form.

**Final Answer**

Therefore, the simplified fraction of 65/4 x 1/2 is:

**65/8**

By following the rules of multiplying and simplifying fractions, we've arrived at the correct answer. Remember to always check your work and simplify fractions to their simplest form to ensure accuracy in your calculations.