## Subtracting Fractions: 1 1/2 - 1/8

This article will guide you through subtracting the fractions **1 1/2 - 1/8**.

### Understanding Mixed Numbers

First, let's understand mixed numbers. **1 1/2** is a mixed number, which means it represents a whole number and a fraction. We can rewrite this mixed number as an improper fraction.

- Multiply the whole number (1) by the denominator of the fraction (2): 1 x 2 = 2
- Add the numerator of the fraction (1): 2 + 1 = 3
- Keep the same denominator (2):
**3/2**

Now we have the equivalent improper fraction **3/2**.

### Finding a Common Denominator

Before we can subtract fractions, they need to have the same denominator. The least common denominator (LCD) of 2 and 8 is 8.

**3/2**is multiplied by 4/4: (3/2) * (4/4) =**12/8**

### Subtracting the Fractions

Now we can subtract the fractions with the same denominator:

**12/8 - 1/8**

Subtracting the numerators and keeping the same denominator:

**(12 - 1) / 8 = 11/8**

### Simplifying the Answer

The answer **11/8** is an improper fraction. To convert it to a mixed number:

- Divide the numerator (11) by the denominator (8): 11 ÷ 8 = 1 with a remainder of 3
- The whole number is 1, and the remainder (3) becomes the numerator of the fraction.
- Keep the same denominator:
**1 3/8**

Therefore, **1 1/2 - 1/8 = 1 3/8**.