Part A: Understanding Fractions
- What is a fraction?
- What is the difference between a proper fraction and an improper fraction?
- What is a mixed number?
- What is the relationship between a fraction and a decimal?
- Convert the following fractions to decimals: 1/2, 3/4, 2/5, 1/10, 5/8.
- Convert the following decimals to fractions: 0.25, 0.5, 0.75, 0.4, 0.125.
Part B: Identifying Fractions
- Identify the fraction of red balls in a bag with 10 red balls and 30 blue balls.
- Identify the fraction of chairs in a room that are green, if there are 6 green chairs and 24 total chairs.
- Identify the fraction of a pizza that is left, if 3/4 of the pizza has been eaten.
- Identify the fraction of a day that has passed, if it is currently 3:00 PM.
- Identify the fraction of a year that has passed, if it is currently July 1st.
Part C: Adding and Subtracting Fractions
- Add the following fractions: 1/4 + 1/3
- Add the following fractions: 5/6 + 2/3
- Subtract the following fractions: 3/5 – 2/5
- Subtract the following fractions: 7/8 – 3/4
- Add the following mixed numbers: 1 1/2 + 2 1/4
- Subtract the following mixed numbers: 3 1/4 – 1 3/8
Part D: Multiplying and Dividing Fractions
- Multiply the following fractions: 2/3 * 3/5
- Multiply the following fractions: 3/4 * 5/8
- Divide the following fractions: 1/2 ÷ 1/4
- Divide the following fractions: 4/5 ÷ 2/3
- Multiply the following mixed numbers: 2 1/4 * 3 3/5
- Divide the following mixed numbers: 2 3/4 ÷ 1 5/8
Part E: Word Problems
- A recipe calls for 1/4 cup of sugar to make 12 cookies. How much sugar is needed to make 36 cookies?
- A soccer team played 20 games and won 3/5 of them. How many games did they win?
- A pizza has 8 slices. If you eat 3/4 of the pizza, how many slices have you eaten?
- 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?
- A store has 100 items, and 1/5 of them are on sale. How many items are on sale?