## Dividing Fractions: 1 1/6 Divided by 1/4

Dividing fractions can seem tricky, but it's actually quite straightforward once you understand the process. Let's break down how to solve **1 1/6 divided by 1/4** step by step.

### Step 1: Convert Mixed Number to an Improper Fraction

First, we need to convert the mixed number **1 1/6** into an improper fraction.

- Multiply the whole number (1) by the denominator of the fraction (6): 1 * 6 = 6
- Add the numerator of the fraction (1) to the result: 6 + 1 = 7
- Keep the same denominator: 7/6

Now our problem is **7/6 divided by 1/4**.

### Step 2: Invert and Multiply

The key to dividing fractions is to **invert the second fraction (the divisor) and multiply**.

- Invert 1/4 to get 4/1.

Our problem now becomes **7/6 multiplied by 4/1**.

### Step 3: Multiply the Numerators and Denominators

- Multiply the numerators: 7 * 4 = 28
- Multiply the denominators: 6 * 1 = 6

This gives us **28/6**.

### Step 4: Simplify the Fraction

Finally, we need to simplify the fraction 28/6. Both 28 and 6 are divisible by 2.

- 28 divided by 2 = 14
- 6 divided by 2 = 3

Therefore, **1 1/6 divided by 1/4 equals 14/3**.

### Conclusion

By following these simple steps, we can successfully divide fractions like 1 1/6 divided by 1/4, resulting in the answer **14/3**. Remember to always convert mixed numbers to improper fractions before dividing and then invert the divisor and multiply.