## Multiplying Mixed Numbers: 1 2/4 * 3 5/6

This article will walk you through the steps of multiplying the mixed numbers **1 2/4** and **3 5/6**.

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

**1 2/4:**Multiply the whole number (1) by the denominator (4) and add the numerator (2). This gives you 6. Keep the same denominator (4). So, 1 2/4 becomes**6/4**.**3 5/6:**Multiply the whole number (3) by the denominator (6) and add the numerator (5). This gives you 23. Keep the same denominator (6). So, 3 5/6 becomes**23/6**.

### Step 2: Multiply the Fractions

Now that we have improper fractions, we can multiply:

**(6/4) * (23/6)**

To multiply fractions, we multiply the numerators and the denominators:

**(6 * 23) / (4 * 6)**

### Step 3: Simplify

**138 / 24**- This fraction can be simplified by dividing both numerator and denominator by their greatest common factor, which is 6.

**138/6 = 23**
**24/6 = 4**

This gives us the simplified answer: **23/4**

### Step 4: Convert Back to Mixed Number (Optional)

If you want to express the answer as a mixed number, divide the numerator (23) by the denominator (4):

- 23 divided by 4 is 5 with a remainder of 3.

Therefore, the answer can be written as **5 3/4**.

### Conclusion

By following these steps, we have successfully multiplied the mixed numbers 1 2/4 and 3 5/6, obtaining the result of **23/4** or **5 3/4**. Remember to always convert mixed numbers to improper fractions before multiplying, and simplify the result whenever possible.