The image shows the math problem:

$1 \dfrac{3}{4} + 2 \dfrac{3}{4}$

This involves the addition of two mixed numbers. Here's how you can solve it step by step:

Step 1: Separate the whole numbers and the fractions

• Whole numbers: $1 + 2 = 3$
• Fractions: $\dfrac{3}{4} + \dfrac{3}{4}$

Step 2: Add the fractions

Since the denominators are the same (4), you can add the numerators directly: $\dfrac{3}{4} + \dfrac{3}{4} = \dfrac{6}{4}$ Simplify $\dfrac{6}{4}$: $\dfrac{6}{4} = 1 \dfrac{2}{4} = 1 \dfrac{1}{2}$

Step 3: Add the whole numbers and the result from the fractions

$3 + 1 \dfrac{1}{2} = 4 \dfrac{1}{2}$

So, the final result is:

$4 \dfrac{1}{2}$

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you subtract mixed numbers with unlike denominators?
2. How would you convert a mixed number to an improper fraction?
3. What is the process to multiply mixed numbers?
4. How do you solve problems involving mixed numbers in real-world contexts?
5. What is the general strategy for adding fractions with different denominators?

Tip: When working with mixed numbers, it’s often easier to deal with the whole numbers and fractions separately before combining the results.