## Multiplying Mixed Numbers: 1 2/3 x 2 3/5

This article will guide you through the process of multiplying mixed numbers, specifically focusing on the example of 1 2/3 x 2 3/5.

### Understanding Mixed Numbers

Mixed numbers are a combination of a whole number and a fraction. For example, 1 2/3 represents one whole and two-thirds of another.

### Converting Mixed Numbers to Improper Fractions

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

**Multiply the denominator of the fraction by the whole number:**In our case, 3 x 1 = 3.**Add the numerator of the fraction:**3 + 2 = 5.**Keep the same denominator:**The improper fraction for 1 2/3 becomes 5/3.

Following the same steps for 2 3/5, we get:

**5 x 2 = 10****10 + 3 = 13****Keep the denominator:**The improper fraction for 2 3/5 becomes 13/5.

### Multiplying Improper Fractions

Now we have 5/3 x 13/5. To multiply fractions:

**Multiply the numerators:**5 x 13 = 65**Multiply the denominators:**3 x 5 = 15

This gives us 65/15.

### Simplifying the Result

The fraction 65/15 can be simplified. Both the numerator and denominator are divisible by 5:

65 ÷ 5 = 13 15 ÷ 5 = 3

Therefore, 65/15 simplifies to 13/3.

### Converting Back to a Mixed Number

Finally, convert the improper fraction back to a mixed number:

**Divide the numerator by the denominator:**13 ÷ 3 = 4 with a remainder of 1.**The quotient becomes the whole number:**4**The remainder becomes the numerator:**1**Keep the same denominator:**3

The final answer is **4 1/3**.

### Conclusion

By converting mixed numbers to improper fractions, multiplying them, and simplifying the result, we found that 1 2/3 x 2 3/5 equals 4 1/3. Remember to always simplify your answer to its lowest terms.