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.