**Simplifying Fractions: 6/12 x 2/10 as a Fraction**

When it comes to fractions, simplifying them can be a challenge. In this article, we'll explore how to simplify the fraction 6/12 x 2/10 and rewrite it in its simplest form.

**The Multiplication of Fractions**

To multiply fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:

**6/12 x 2/10 = (6 x 2) / (12 x 10)**

= **12/120**

**Simplifying the Fraction**

Now that we have the product, let's simplify the fraction. To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 12 and 120 is **12**. So, we can divide both the numerator and the denominator by 12 to get:

**12/120 = 1/10**

**The Simplified Fraction**

And there you have it! The simplified fraction for 6/12 x 2/10 is **1/10**.

In conclusion, multiplying fractions and simplifying them can be a straightforward process if you follow the rules. Remember to multiply the numerators and denominators, and then simplify the fraction by finding the greatest common divisor.