## Multiplying Mixed Numbers: Finding 1 1/6 Times 3 4/5

This article will guide you through the steps of multiplying mixed numbers. Specifically, we will be calculating **1 1/6 times 3 4/5**.

### Step 1: Convert Mixed Numbers to Improper Fractions

**1 1/6:**Multiply the whole number (1) by the denominator (6), then add the numerator (1). This gives us 7. Keep the same denominator (6). So, 1 1/6 becomes**7/6**.**3 4/5:**Multiply the whole number (3) by the denominator (5), then add the numerator (4). This gives us 19. Keep the same denominator (5). So, 3 4/5 becomes**19/5**.

### Step 2: Multiply the Fractions

Now we have: (7/6) * (19/5)

To multiply fractions, we simply multiply the numerators and the denominators.

(7 * 19) / (6 * 5) = 133 / 30

### Step 3: Simplify the Result (if possible)

The fraction 133/30 can be simplified. Both 133 and 30 are divisible by 1.

**Therefore, 1 1/6 times 3 4/5 is equal to 133/30.**