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

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

### Understanding Mixed Numbers and Fractions

Before we start, let's remember what mixed numbers and fractions represent:

**Mixed Numbers:**A mixed number combines a whole number with a fraction, like 1 1/4.**Fractions:**Fractions represent parts of a whole, with a numerator (top number) indicating the number of parts and a denominator (bottom number) indicating the total number of parts.

### Step 1: Convert the Mixed Number to an Improper Fraction

To subtract fractions easily, they must have the same denominator. Let's convert the mixed number 1 1/4 into an improper fraction:

**Multiply the whole number (1) by the denominator (4):**1 * 4 = 4**Add the numerator (1):**4 + 1 = 5**Keep the same denominator (4):**5/4

Now we have 5/4 - 1/3.

### Step 2: Find a Common Denominator

The fractions 5/4 and 1/3 have different denominators. To subtract them, we need a common denominator. The least common multiple of 4 and 3 is 12.

**Convert 5/4 to an equivalent fraction with a denominator of 12:**(5/4) * (3/3) = 15/12**Convert 1/3 to an equivalent fraction with a denominator of 12:**(1/3) * (4/4) = 4/12

### Step 3: Subtract the Fractions

Now we have 15/12 - 4/12. To subtract fractions with the same denominator:

**Subtract the numerators:**15 - 4 = 11**Keep the same denominator:**11/12

### Answer

Therefore, 1 1/4 - 1/3 equals **11/12**.