## Simplifying 1 1/6 Divided by 7/8

Dividing fractions can be tricky, but with the right steps, it's a breeze! Let's break down how to simplify 1 1/6 divided by 7/8.

### Step 1: Convert Mixed Number to a Fraction

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

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

Now our problem is 7/6 divided by 7/8.

### Step 2: Multiply by the Reciprocal

Dividing by a fraction is the same as multiplying by its reciprocal. To find the reciprocal of 7/8, simply flip the fraction: 8/7.

So, our problem becomes 7/6 multiplied by 8/7.

### Step 3: Multiply the Numerators and Denominators

Multiply the numerators (top numbers) together: 7 * 8 = 56 Multiply the denominators (bottom numbers) together: 6 * 7 = 42

This gives us 56/42.

### Step 4: Simplify the Fraction

Both 56 and 42 are divisible by 14.

- 56 ÷ 14 = 4
- 42 ÷ 14 = 3

Therefore, 1 1/6 divided by 7/8 simplified to its simplest form is **4/3**.