## Multiplying Mixed Numbers: A Step-by-Step Guide

This article will guide you through the process of multiplying mixed numbers, specifically focusing on the example of **1 1/15 x 5 2/5 x 4 7/12**.

### Converting Mixed Numbers to Improper Fractions

The first step is to convert each mixed number into an improper fraction. Remember that a mixed number represents a whole number plus a fraction.

Here's how to convert each mixed number:

**1 1/15:**Multiply the whole number (1) by the denominator (15) and add the numerator (1). Keep the same denominator (15). This gives us**16/15**.**5 2/5:**Multiply the whole number (5) by the denominator (5) and add the numerator (2). Keep the same denominator (5). This gives us**27/5**.**4 7/12:**Multiply the whole number (4) by the denominator (12) and add the numerator (7). Keep the same denominator (12). This gives us**55/12**.

Now our problem looks like this: **16/15 x 27/5 x 55/12**

### Multiplying Fractions

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

**(16 x 27 x 55) / (15 x 5 x 12)**

### Simplifying the Fractions

Before performing the multiplication, let's simplify the fractions by finding common factors in the numerators and denominators.

**16/15**cannot be simplified further.**27/5**cannot be simplified further.**55/12**cannot be simplified further.

However, we can notice that 12 and 55 both share a common factor of 4. We can simplify the fraction **55/12** by dividing both numerator and denominator by 4, resulting in **11/3**.

Now our problem looks like this: **16/15 x 27/5 x 11/3**

### Performing the Multiplication

Now, we can multiply the numerators and the denominators:

**(16 x 27 x 11) / (15 x 5 x 3)**

This gives us **4752 / 225**

### Simplifying the Result

Finally, we can simplify the improper fraction by dividing both numerator and denominator by their greatest common factor, which is 9.

**4752 / 225 = 528 / 25**

Therefore, **1 1/15 x 5 2/5 x 4 7/12 = 528/25**.