Fractions and Probability Operations

Name:

Date:

📊 Part 1: Fraction Operations

1. Convert 2 3/5 to an improper fraction:

2. Calculate: 3/4 × 2/5

3. Calculate: 1 1/3 × 3/8 (Convert mixed number first)

4. Calculate: 5/6 ÷ 2/9

Remember: To divide fractions, multiply by the reciprocal

5. Which calculation is equivalent to 7/8 ÷ 3/4?

7/8 × 3/4

7/8 × 4/3

8/7 × 3/4

8/7 × 4/3

🎲 Part 2: Probability with Fractions

6. A fair six-sided die is rolled. What is the probability of rolling an even number? Write your answer as a fraction in its simplest form.

7. A spinner has 8 equal sections: 3 red, 2 blue, and 3 yellow. Calculate the probability of spinning red AND then blue (independent events).

Probability of red = _______

Probability of blue = _______

Probability of red AND blue = _______ × _______ = _______

8. A bag contains 5 red balls and 3 blue balls. One ball is drawn and NOT replaced. What is the probability that the second ball drawn is red?

5/8

4/7 or 5/7 (depends on first ball)

5/7

4/8

9. A coin is flipped and a die is rolled. What is the probability of getting heads AND rolling a 4? Show your calculation.

🧠 Part 3: Problem Solving

10. Sarah has a box of chocolates. 2/3 of them are milk chocolate, and 1/4 of the milk chocolates have nuts. What fraction of all the chocolates are milk chocolate with nuts?

11. In a school lottery, the probability of winning a prize is 3/20. If 240 tickets are sold, how many prizes would you expect to be won? Show your working.

12. Challenge: Create your own probability problem involving the multiplication of two fractions. Write the problem and solve it.

Your problem:

Your solution: