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

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

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

**1 1/3:**Multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives you 4. Keep the same denominator. So, 1 1/3 becomes**4/3**.**1 3/4:**Multiply the whole number (1) by the denominator (4) and add the numerator (3). This gives you 7. Keep the same denominator. So, 1 3/4 becomes**7/4**.

### Step 2: Multiply the Fractions

Now we have: **(4/3) x (7/4)**

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

(4 x 7) / (3 x 4) = **28/12**

### Step 3: Simplify the Result

The fraction 28/12 can be simplified. Both the numerator and denominator are divisible by 4:

28/12 = **7/3**

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

The answer can be left as an improper fraction (7/3), or it can be converted back to a mixed number.

- Divide the numerator (7) by the denominator (3): 7 ÷ 3 = 2 with a remainder of 1.
- The quotient (2) becomes the whole number of the mixed number. The remainder (1) becomes the numerator of the fraction. The denominator stays the same.

Therefore, 7/3 is equivalent to **2 1/3**.

### Conclusion

Therefore, 1 1/3 times 1 3/4 is equal to **7/3** or **2 1/3**.