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

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

### Converting Mixed Numbers to Improper Fractions

Before multiplying mixed numbers, we need to convert them to improper fractions. Here's how:

**1. Multiply the whole number by the denominator:**

- For 1 3/4: 1 x 4 = 4
- For 2 2/3: 2 x 3 = 6

**2. Add the numerator to the result:**

- For 1 3/4: 4 + 3 = 7
- For 2 2/3: 6 + 2 = 8

**3. Keep the same denominator:**

- 1 3/4 becomes 7/4
- 2 2/3 becomes 8/3

### Multiplying Improper Fractions

Now that we have improper fractions, we can multiply them:

**(7/4) x (8/3)**

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

**(7 x 8) / (4 x 3)**

This simplifies to:

**56/12**

### Simplifying the Answer

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

**14/3**

### Converting Back to Mixed Number

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

**Divide the numerator (14) by the denominator (3):**14 ÷ 3 = 4 with a remainder of 2.**The quotient (4) becomes the whole number part:**4**The remainder (2) becomes the numerator of the fraction:**2**Keep the same denominator:**3

Therefore, **1 3/4 x 2 2/3 = 4 2/3**.