## Subtracting Fractions: 1 1/2 - 3/4

This article will guide you through the process of subtracting the fractions 1 1/2 and 3/4.

### Understanding Mixed Numbers and Proper Fractions

First, let's understand the different types of fractions involved:

**Mixed Number:**A mixed number combines a whole number and a fraction, like 1 1/2.**Proper Fraction:**A proper fraction has a numerator smaller than its denominator, like 3/4.

### Converting Mixed Numbers to Improper Fractions

To subtract fractions easily, we need to convert the mixed number (1 1/2) into an improper fraction.

Here's how:

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

Now we have 3/2 instead of 1 1/2.

### Finding a Common Denominator

Before subtracting, both fractions need to have the same denominator. The least common denominator for 2 and 4 is 4.

**3/2:**Multiply the numerator and denominator by 2: (3 x 2) / (2 x 2) = 6/4

Now we have: 6/4 - 3/4

### Performing the Subtraction

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

6/4 - 3/4 = (6 - 3) / 4 = 3/4

### Final Answer

Therefore, 1 1/2 - 3/4 is equal to **3/4**.