## Multiplying Mixed Numbers: 1 1/4 x 5 3/5

This article will guide you through the steps of multiplying mixed numbers, specifically focusing on the problem: **1 1/4 x 5 3/5**.

### Converting to Improper Fractions

The first step is to convert the mixed numbers into improper fractions.

**1 1/4**becomes**5/4**(multiply the whole number by the denominator, add the numerator, and keep the denominator).**5 3/5**becomes**28/5**.

Now our problem looks like this: **(5/4) x (28/5)**.

### Multiplying Fractions

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

**(5/4) x (28/5) = (5 x 28) / (4 x 5)**

### Simplifying

Before multiplying, we can simplify the problem by canceling out common factors in the numerator and denominator:

**(5 x 28) / (4 x 5) = (1 x 7) / (1 x 1)**

Now, we multiply the simplified fractions:

**(1 x 7) / (1 x 1) = 7/1**

### Converting Back to Mixed Number

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

**7/1 = 7**

Therefore, **1 1/4 x 5 3/5 = 7**.