## Multiplying Mixed Numbers: 1 3/4 x 4 1/6

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

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

**1 3/4**becomes**(1 x 4) + 3 / 4 = 7/4****4 1/6**becomes**(4 x 6) + 1 / 6 = 25/6**

### Step 2: Multiply the Numerators and Denominators

Now we have (7/4) x (25/6). To multiply fractions, we simply multiply the numerators together and the denominators together:

**(7 x 25) / (4 x 6)**

### Step 3: Simplify the Result

**175 / 24**

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

Since 175 / 24 is an improper fraction, we can convert it back to a mixed number:

**24 goes into 175 7 times with a remainder of 7.****The result is 7 7/24**

### Conclusion

Therefore, 1 3/4 times 4 1/6 is equal to **175/24** or **7 7/24**.