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

This article will guide you through the process of subtracting the fractions 1 1/2 and 1/8.

### Understanding Mixed Numbers

First, we need to understand what a mixed number is. A mixed number, like **1 1/2**, represents a whole number and a fraction combined. In this case, it means one whole and one half.

### Converting to a Single Fraction

Before we can subtract, we need to convert the mixed number (1 1/2) into a single fraction. To do this, follow these steps:

**Multiply the whole number by the denominator:**1 x 2 = 2**Add the numerator:**2 + 1 = 3**Keep the same denominator:**3/2

Now our problem is: **3/2 - 1/8**

### Finding a Common Denominator

Before we can subtract fractions, they must have the same denominator. The least common denominator of 2 and 8 is 8.

**Multiply the numerator and denominator of 3/2 by 4:**(3 x 4) / (2 x 4) = 12/8**The fraction 1/8 remains the same.**

Our problem now looks like this: **12/8 - 1/8**

### Subtracting the Fractions

Now that the fractions have the same denominator, we can subtract the numerators:

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

### Simplifying the Answer

Our answer, 11/8, is an improper fraction (the numerator is larger than the denominator). We can convert it back to a mixed number:

**Divide the numerator by the denominator:**11 ÷ 8 = 1 with a remainder of 3**The quotient (1) becomes the whole number.****The remainder (3) becomes the numerator.****The denominator stays the same.**

Therefore, **11/8** is equivalent to **1 3/8**.

### Final Answer

1 1/2 - 1/8 = **1 3/8**