## Simplifying Mixed Numbers: 1 1/4 - 5/8

This article will guide you through the process of subtracting mixed numbers and fractions. Let's break down how to calculate 1 1/4 - 5/8.

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our example, 1 1/4 represents one whole unit plus one-fourth of another unit.

### Converting Mixed Numbers to Fractions

To subtract fractions easily, we need to convert the mixed number into a single fraction. Here's how:

**Multiply the whole number by the denominator of the fraction:**1 x 4 = 4**Add the numerator to the result:**4 + 1 = 5**Keep the original denominator:**5/4

Now, our mixed number (1 1/4) is represented as the fraction 5/4.

### Finding a Common Denominator

Before subtracting, both fractions need to have the same denominator. The smallest common denominator for 4 and 8 is 8.

**5/4 remains as 5/4****5/8 remains as 5/8**

### Subtracting Fractions

Now that we have common denominators, we can subtract the numerators:

5/4 - 5/8 = (10/8) - (5/8) = 5/8

### Result

Therefore, 1 1/4 - 5/8 equals **5/8**.