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

Let's break down how to multiply the mixed numbers **1 2/3** and **1 1/4** to arrive at a single fraction.

### Converting Mixed Numbers to Improper Fractions

The first step is to convert our mixed numbers into improper fractions. To do this, we follow these simple steps:

**Multiply the whole number by the denominator:**- For 1 2/3: 1 x 3 = 3
- For 1 1/4: 1 x 4 = 4

**Add the numerator to the result:**- For 1 2/3: 3 + 2 = 5
- For 1 1/4: 4 + 1 = 5

**Keep the original denominator:**- 1 2/3 becomes 5/3
- 1 1/4 becomes 5/4

Now we have our original problem as: **(5/3) x (5/4)**

### Multiplying Fractions

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

**Numerator:**5 x 5 = 25**Denominator:**3 x 4 = 12

This gives us the result: **25/12**

### Simplifying the Fraction

The fraction 25/12 is an improper fraction because the numerator is larger than the denominator. We can simplify this into a mixed number:

**Divide the numerator by the denominator:**25 ÷ 12 = 2 with a remainder of 1.**The quotient (2) becomes the whole number part of the mixed number.****The remainder (1) becomes the numerator of the fraction.****The denominator remains the same (12).**

Therefore, **25/12** simplifies to **2 1/12**.

### Conclusion

By following these steps, we have successfully multiplied the mixed numbers **1 2/3** and **1 1/4**, arriving at the answer **2 1/12**.