add fractions with unlike denominators 1/2 + 3/4

To add fractions with unlike denominators, follow these steps:

### Step 1: Find a common denominator.
The denominators are \(2\) and \(4\). The least common denominator (LCD) is \(4\).

### Step 2: Rewrite the fractions with the common denominator.
- \( \frac{1}{2} \) becomes \( \frac{2}{4} \) (since \(1 \times 2 = 2\) and \(2 \times 2 = 4\)).
- \( \frac{3}{4} \) stays \( \frac{3}{4} \).

### Step 3: Add the numerators.
- \( \frac{2}{4} + \frac{3}{4} = \frac{2+3}{4} = \frac{5}{4} \).

### Step 4: Simplify the result, if necessary.
- \( \frac{5}{4} \) is an improper fraction. You can write it as a mixed number: \(1 \frac{1}{4}\).

### Final Answer:
\[
\frac{1}{2} + \frac{3}{4} = \frac{5}{4} \text{ or } 1 \frac{1}{4}.
\]

Would you like more examples or further clarification?

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### Related Questions:
1. How do you subtract fractions with unlike denominators?
2. What is the process to multiply fractions?
3. How do you find the least common denominator (LCD)?
4. How do improper fractions relate to mixed numbers?
5. How do you add three or more fractions with unlike denominators?

### Tip:
Always simplify fractions to their lowest terms for a clearer result!

Learn how to add fractions with unlike denominators using the example 1/2 + 3/4. This step-by-step solution covers finding the least common denominator (LCD), rewriting fractions, and simplifying the result. Suitable for students in Grades 4-6.

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