## Subtracting Fractions: 1 1/4 - 2/5

This article will guide you through the steps of subtracting the fractions **1 1/4** and **2/5**.

### 1. Convert Mixed Number to Improper Fraction

The first step is to 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, the problem becomes **5/4 - 2/5**.

### 2. Find a Common Denominator

To subtract fractions, they need to have the same denominator. The least common denominator (LCD) of 4 and 5 is 20.

**Multiply the numerator and denominator of 5/4 by 5:**(5 * 5) / (4 * 5) = 25/20**Multiply the numerator and denominator of 2/5 by 4:**(2 * 4) / (5 * 4) = 8/20

### 3. Subtract the Numerators

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

**25/20 - 8/20 = 17/20**

### 4. Simplify (If Necessary)

The fraction **17/20** is already in its simplest form as 17 and 20 share no common factors other than 1.

### Conclusion

Therefore, 1 1/4 - 2/5 is equal to **17/20**.