Customary unit conversions involving fractions and mixed numbers can be challenging for students. However, with the right activities and teaching techniques, these concepts can become easier to understand and apply. Here are some activities that can help students improve their understanding of customary unit conversions involving fractions and mixed numbers.

1. Use Real-Life Examples: Teachers can use real-life examples to help students understand how customary unit conversions involving fractions and mixed numbers are used in everyday life. For instance, they can show how converting fluid ounces to cups, pints, quarts, and gallons can be useful when measuring liquids.

2. Role-Playing Games: Another effective activity to teach customary unit conversions involving fractions is role-playing games or simulations. Students can role-play as cooks, builders, or even chemists who have to convert measurements in order to complete their tasks.

3. Manipulatives: Teachers can also use manipulatives like ruler, tape measures, and measuring cups to teach students how to measure and convert units. For example, students can use measuring cups to convert cups to fluid ounces or tablespoons to teaspoons.

4. Challenge Activities: Teachers can also create challenge activities or games that involve customary unit conversions involving fractions and mixed numbers. These activities can include puzzles, quizzes, and timed challenges that help students practice and master these skills.

5. Group Activities: Cooperative learning groups are also effective in teaching customary unit conversions involving fractions and mixed numbers. Students can work in teams to convert different units and come up with their own real-life examples.

6. Technology: Technology can also be used to teach customary unit conversions involving fractions and mixed numbers. Teachers can use online conversion tools and interactive programs to engage students and make learning fun.

In conclusion, teaching customary unit conversions involving fractions and mixed numbers can be a difficult task. However, by using real-life examples, manipulatives, role-playing games, challenge activities, group activities, and technology, teachers can help students become more proficient in these concepts. These activities not only help students understand the concepts but also make learning fun and enjoyable.