Questions: Reflect How did you decide what strategy to use when adding mixed numbers? Math is... Mindset What are some ways you contributed to your group today? 78 Lesson 3 . Add Mixed Numbers

When deciding what strategy to use when adding mixed numbers, I considered the following steps:

1. Separate the Whole Numbers and Fractions: First, I separated the whole numbers from the fractional parts of the mixed numbers. This makes it easier to handle each part individually.

2. Add the Whole Numbers: I added the whole numbers together first. This step is straightforward and helps simplify the problem.

3. Find a Common Denominator for the Fractions: If the fractions have different denominators, I found a common denominator. This is necessary to add the fractions accurately.

4. Convert the Fractions: I converted each fraction to an equivalent fraction with the common denominator.

5. Add the Fractions: I added the fractions together. If the sum of the fractions was an improper fraction (where the numerator is larger than the denominator), I converted it to a mixed number and added any additional whole number to the sum of the whole numbers.

6. Combine the Results: Finally, I combined the sum of the whole numbers and the sum of the fractions to get the final result.

For example, to add 2 1/3 and 3 2/5:

• Separate the whole numbers and fractions: 2 and 1/3, 3 and 2/5.
• Add the whole numbers: 2 + 3 = 5.
• Find a common denominator for 1/3 and 2/5, which is 15.
• Convert the fractions: 1/3 = 5/15 and 2/5 = 6/15.
• Add the fractions: 5/15 + 6/15 = 11/15.
• Combine the results: 5 + 11/15 = 5 11/15.

Regarding contributing to my group today, I contributed in the following ways:

1. Collaboration: I actively participated in discussions, sharing my ideas and listening to others. This helped us come up with effective strategies for solving problems.

2. Problem-Solving: I helped break down complex problems into simpler steps, making it easier for the group to tackle them.

3. Encouragement: I encouraged my group members, providing positive feedback and support, which helped maintain a positive and productive atmosphere.

In summary, the strategy for adding mixed numbers involves separating and adding whole numbers and fractions separately, finding common denominators, and combining the results. Contributing to a group involves active participation, problem-solving, and providing encouragement.