Part A: Understanding Fractions

1. What is a fraction?
2. What is the difference between a proper fraction and an improper fraction?
3. What is a mixed number?
4. What is the relationship between a fraction and a decimal?
5. Convert the following fractions to decimals: 1/2, 3/4, 2/5, 1/10, 5/8.
6. Convert the following decimals to fractions: 0.25, 0.5, 0.75, 0.4, 0.125.

Part B: Identifying Fractions

1. Identify the fraction of red balls in a bag with 10 red balls and 30 blue balls.
2. Identify the fraction of chairs in a room that are green, if there are 6 green chairs and 24 total chairs.
3. Identify the fraction of a pizza that is left, if 3/4 of the pizza has been eaten.
4. Identify the fraction of a day that has passed, if it is currently 3:00 PM.
5. Identify the fraction of a year that has passed, if it is currently July 1st.

Part C: Adding and Subtracting Fractions

1. Add the following fractions: 1/4 + 1/3
2. Add the following fractions: 5/6 + 2/3
3. Subtract the following fractions: 3/5 – 2/5
4. Subtract the following fractions: 7/8 – 3/4
5. Add the following mixed numbers: 1 1/2 + 2 1/4
6. Subtract the following mixed numbers: 3 1/4 – 1 3/8

Part D: Multiplying and Dividing Fractions

1. Multiply the following fractions: 2/3 * 3/5
2. Multiply the following fractions: 3/4 * 5/8
3. Divide the following fractions: 1/2 ÷ 1/4
4. Divide the following fractions: 4/5 ÷ 2/3
5. Multiply the following mixed numbers: 2 1/4 * 3 3/5
6. Divide the following mixed numbers: 2 3/4 ÷ 1 5/8

Part E: Word Problems

1. A recipe calls for 1/4 cup of sugar to make 12 cookies. How much sugar is needed to make 36 cookies?
2. A soccer team played 20 games and won 3/5 of them. How many games did they win?
3. A pizza has 8 slices. If you eat 3/4 of the pizza, how many slices have you eaten?
4. A group of friends went to a restaurant and ordered 4 pizzas. If each pizza has 8 slices, and they ate 3/4 of all the slices, how many slices did they eat?
5. A store has 100 items, and 1/5 of them are on sale. How many items are on sale?