## Multiplying Mixed Numbers: 1 3/4 x 2 2/3

This article will guide you through the steps of multiplying the mixed numbers 1 3/4 and 2 2/3 and simplifying the result.

### Converting Mixed Numbers to Fractions

First, we need to convert the mixed numbers into improper fractions.

**1 3/4:**Multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us (1 * 4 + 3) / 4 = 7/4.**2 2/3:**Multiply the whole number (2) by the denominator (3) and add the numerator (2). Keep the same denominator. This gives us (2 * 3 + 2) / 3 = 8/3.

### Multiplying Fractions

Now, we multiply the two improper fractions:

(7/4) * (8/3) = (7 * 8) / (4 * 3) = 56/12

### Simplifying the Result

The fraction 56/12 can be simplified. We find the greatest common factor (GCD) of 56 and 12, which is 4. We divide both numerator and denominator by 4:

56/12 = (56 / 4) / (12 / 4) = **14/3**

### Converting Back to Mixed Number

Finally, we can convert the improper fraction 14/3 back to a mixed number:

14/3 = **4 2/3**

Therefore, 1 3/4 times 2 2/3 in simplest form is **4 2/3**.