Adding Fractions: 1 1/4 + 1/2
Adding fractions can seem daunting, but with a few simple steps, it becomes easy! Let's break down how to add 1 1/4 + 1/2.
Understanding the Process

Find a Common Denominator: The denominator is the bottom number of a fraction. In our case, the denominators are 4 and 2. To add fractions, they need the same denominator. The least common denominator of 4 and 2 is 4.

Convert Fractions: We need to change 1/2 to an equivalent fraction with a denominator of 4. To do this, we multiply both the numerator (top number) and denominator by 2: (1 * 2) / (2 * 2) = 2/4.

Add the Fractions: Now we can add the fractions: 1 1/4 + 2/4. Since the denominators are the same, we simply add the numerators: 1 + 2 = 3.

Simplify the Result: We have 1 3/4, which is a mixed number.
The Solution
Therefore, 1 1/4 + 1/2 = 1 3/4.
Key Takeaways
 Common Denominator: It's crucial to have the same denominator before adding fractions.
 Equivalent Fractions: Finding equivalent fractions with the same denominator is key for addition.
 Simplify: Always simplify your answer to its simplest form, which may involve converting improper fractions to mixed numbers.