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The image contains a set of math problems focused on reducing fractions and solving word problems involving fractions. I'll help you solve these step by step.

### Part 1: Reduce the Fractions to Their Lowest Terms

1. \( \frac{1}{5} + \frac{1}{5} = \frac{2}{5} \)
   - This fraction is already in its lowest terms.

2. \( \frac{1}{3} + \frac{1}{6} \)
   - Find the common denominator (6).
   - \( \frac{1}{3} = \frac{2}{6} \).
   - \( \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \).

3. \( \frac{3}{10} + \frac{1}{10} = \frac{4}{10} = \frac{2}{5} \).

4. \( \frac{4}{15} + \frac{2}{15} = \frac{6}{15} = \frac{2}{5} \).

5. \( \frac{7}{10} + \frac{3}{10} = \frac{10}{10} = 1 \).

### Part 2: Word Problems

1. **Word Problem 1:**
   - Anna buys 8 Butter dolls and gives her sister 5/8 of them. 
   - The remaining fraction is \( 1 - \frac{5}{8} = \frac{3}{8} \).
   - She has \( \frac{3}{8} \) of the dolls left.

2. **Word Problem 2:**
   - Dr. Chen uses \( \frac{2}{3} \) of sugar to make 9 cups of lemonade.
   - To make one cup, the amount of sugar required is \( \frac{2}{3} \div 9 = \frac{2}{27} \).

3. **Word Problem 3:**
   - Nora and her sister Bella share \( \frac{3}{5} \) of the cake. Bella eats \( \frac{1}{2} \) of that.
   - Bella eats \( \frac{1}{2} \times \frac{3}{5} = \frac{3}{10} \) of the whole cake.

4. **Word Problem 4:**
   - An artist uses \( \frac{1}{4} \) of a can of red paint for each frame. 
   - The box contains 8 cans of paint.
   - Total number of frames = \( 8 \div \frac{1}{4} = 8 \times 4 = 32 \) frames.

5. **Word Problem 5:**
   - Lucy brought \( \frac{3}{4} \) bushels of blueberries. She kept \( \frac{1}{2} \) for herself.
   - Amount sold \( = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} \) bushels.

Would you like to go into further details on any of these problems, or do you have any other questions?

### Related Questions:

1. How do you find a common denominator for adding fractions?
2. What is the process for simplifying a fraction to its lowest terms?
3. How do you divide a fraction by a whole number?
4. What strategies can be used to solve word problems involving fractions?
5. How can understanding fractions help in solving real-life problems?

### Tip:

When working with fractions, always check if the fraction can be simplified after performing any operation, such as addition or subtraction, to ensure your answer is in the lowest terms.

The problem involves reducing fractions to their lowest terms and solving word problems involving fractions. The specific fractions and word problems were shown in the image.

Learn how to add and simplify fractions in various scenarios, including solving word problems. This guide provides step-by-step solutions for students in Grades 4-6, covering essential concepts like finding common denominators and multiplying fractions.

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