## Subtracting Fractions: 1 1/4 - 5/8

This article will guide you through the process of subtracting the fractions 1 1/4 and 5/8.

### Understanding Mixed Numbers and Fractions

Before we begin, let's define our terms:

**Mixed number:**A number that combines a whole number and a fraction, like 1 1/4.**Fraction:**A number that represents a part of a whole, like 5/8.

### Step 1: Convert the Mixed Number to a Fraction

To subtract fractions, we need to work with the same type of number. So, let's convert the mixed number 1 1/4 into an improper fraction:

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

Now we have 5/4 - 5/8.

### Step 2: Find a Common Denominator

We need to make sure both fractions have the same denominator to subtract them. The least common multiple of 4 and 8 is 8.

**Change 5/4 to an equivalent fraction with a denominator of 8:**Multiply both numerator and denominator by 2: (5 * 2) / (4 * 2) = 10/8

Now we have 10/8 - 5/8.

### Step 3: Subtract the Numerators

Since the denominators are the same, we can simply subtract the numerators: 10 - 5 = 5.

### Step 4: Keep the Denominator

The denominator remains the same: 5/8.

### Final Answer

Therefore, 1 1/4 - 5/8 = **5/8**.