## Solving 1 1/2 - 3/8

This article will guide you through the steps of solving the subtraction problem **1 1/2 - 3/8**.

### Understanding Mixed Numbers and Fractions

Before we begin, let's clarify the terms:

**Mixed number:**A combination of a whole number and a fraction, like 1 1/2.**Fraction:**A number representing a part of a whole, like 3/8.

### Converting Mixed Numbers to Fractions

To solve the problem, we need to convert the mixed number (1 1/2) into a fraction:

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

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

### Finding a Common Denominator

To subtract fractions, they need to have the same denominator (bottom number). We can find the least common denominator (LCD) by finding the least common multiple of 2 and 8, which is 8.

**Convert 3/2 to a fraction with denominator 8:**Multiply both numerator and denominator by 4: (3 * 4) / (2 * 4) = 12/8

Now our problem is: **12/8 - 3/8**

### Subtracting Fractions

Now that we have a common denominator, we can simply subtract the numerators:

**12/8 - 3/8 = 9/8**

### Converting the Answer Back to a Mixed Number (Optional)

The answer 9/8 is an improper fraction (numerator is greater than the denominator). We can convert it back to a mixed number:

**Divide the numerator (9) by the denominator (8):**9 ÷ 8 = 1 with a remainder of 1**The quotient (1) becomes the whole number of the mixed number.****The remainder (1) becomes the numerator of the fraction.****Keep the same denominator (8):**1 1/8

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