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

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

### Understanding Mixed Numbers and Improper Fractions

Before we start subtracting, let's make sure we understand the terms:

**Mixed Number:**A mixed number combines a whole number and a fraction, like 1 1/3.**Improper Fraction:**An improper fraction has a numerator larger than or equal to the denominator, like 4/3.

### Converting Mixed Numbers to Improper Fractions

To subtract fractions, it's helpful to work with improper fractions. Let's convert 1 1/3 to an improper fraction:

**Multiply the whole number (1) by the denominator (3):**1 * 3 = 3**Add the numerator (1):**3 + 1 = 4**Keep the same denominator (3):**4/3

Now we have the problem: **4/3 - 2/3**

### Subtracting Fractions with the Same Denominator

When fractions have the same denominator, subtracting is simple:

**Subtract the numerators:**4 - 2 = 2**Keep the same denominator:**2/3

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