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Fractions and Probability Operations

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Fractions and Probability Operations worksheet preview

Fractions and Probability Operations

Fractions and probability illustration

📊 Part 1: Fraction Operations

1. Multiply these fractions and simplify your answer:

a) 2/3 × 3/4 = ___________

b) 5/6 × 2/5 = ___________

2. Convert the mixed number to an improper fraction, then multiply:

1 2/3 × 3/5 = ___________

3. Divide these fractions by multiplying by the reciprocal:

a) 3/4 ÷ 2/5 = ___________

b) 5/8 ÷ 3/4 = ___________

4. Which operation would you use to solve this problem?

"Sarah ate 2/3 of a pizza. If the pizza was cut into 1/8 slices, how many slices did she eat?"

Addition: 2/3 + 1/8

Multiplication: 2/3 × 1/8

Division: 2/3 ÷ 1/8

Subtraction: 2/3 - 1/8

🎲 Part 2: Probability with Fractions

5. A fair six-sided die is rolled twice. What is the probability of rolling a 3 and then a 5?

P(3 then 5) = ___________

6. A spinner has 8 equal sections: 3 red, 2 blue, and 3 green. Calculate these probabilities as fractions in their simplest form:

a) P(red) = ___________

b) P(blue then green) = ___________

c) P(not red) = ___________

7. A bag contains 12 balls: 5 red and 7 blue. One ball is drawn and not replaced. What is the probability that the second ball drawn is red?

5/12

4/11

5/11

It depends on the first ball drawn

8. Explain the difference between independent and dependent events using the examples from questions 5 and 7:

🧮 Part 3: Problem Solving

9. A school canteen serves 240 students. On Monday, 3/8 of students chose pizza and 1/4 chose sandwiches. The probability that a randomly selected student chose pizza is the same as the fraction who chose pizza.

a) How many students chose pizza? ___________

b) If you randomly select two students, what is the probability both chose sandwiches?

10. Create your own probability problem involving the multiplication of two fractions. Include the solution.

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