**Divide 6/25 by 3/10: A Step-by-Step Guide**

Are you struggling to divide fractions? Don't worry, we've got you covered! In this article, we'll walk you through the process of dividing 6/25 by 3/10.

**Understanding the Problem**

Before we dive into the solution, let's break down the problem:

**6/25**: This is the dividend, the number being divided.

**3/10**: This is the divisor, the number by which we are dividing.

**The Divide Symbol**

To divide fractions, we use the obelus symbol (/) or the "divided by" symbol. In this case, we'll use the obelus symbol to represent the division:

6/25 ÷ 3/10

**Step 1: Invert the Divisor**

To divide fractions, we need to invert the divisor (i.e., flip the numerator and denominator). In this case, we'll invert 3/10:

3/10 = 10/3

**Step 2: Multiply**

Now, we'll multiply the dividend by the inverted divisor:

(6/25) × (10/3)

**Step 3: Simplify**

To simplify the fraction, we'll multiply the numerators and denominators:

(6 × 10) / (25 × 3) = 60 / 75

**Step 4: Simplify Further**

We can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 15:

60 ÷ 15 = 4 75 ÷ 15 = 5

So, the final result is:

**4/5**

**Conclusion**

In conclusion, dividing 6/25 by 3/10 results in a final answer of 4/5. By following these step-by-step instructions, you can confidently tackle fraction division problems!