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Fractions and Probability Operations
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Fractions and Probability Operations
Show clear working for calculation questions. Give probabilities and fractions in their simplest form.
Multiplying and Dividing Fractions
1.Calculate 3/7 × 14/15. Simplify your answer.
2.Work out 2 1/4 × 4/9. Give your answer as a fraction in simplest form.
3.Calculate 7/10 ÷ 14/25. Simplify your answer.
4.Which expression is equal to 3/8 ÷ 5/6?
- 3/8 × 5/6
- 3/8 × 6/5
- 8/3 × 5/6
- 5/6 × 8/3
5.Match each calculation with its answer.
- 2/3 × 3/5
- 5/8 ÷ 3/4
- 7/9 × 3/14
- 4/5 ÷ 8/15
- 1/6
- 2/5
- 3/2
- 5/6
Probability with Fractions
6.A spinner has 10 equal-sized sectors, 4 of which are red. It is spun twice, and the first result does not affect the second. Find the probability of landing on red both times.
7.A pouch contains 6 green counters and 4 purple counters. One counter is taken out and kept aside. What is the probability that the next counter is green?
8.A weather forecast gives a 3/8 probability of rain on Saturday and a 2/7 probability on Sunday. Treat the days as independent. Find the probability of rain on both days.
Problem Solving
9.A batch of muffins needs 1 5/6 kg of oats. Rory is making 3/5 of a batch. How many kilograms of oats are needed?
10.A player has a 5/6 chance of passing the first level. If they pass it, their chance of passing the next level is 3/10. What is the probability that they pass both levels?
11.A tin holds 9 plain biscuits and 5 chocolate biscuits. Two biscuits are chosen one after the other without replacement. Find the probability that both are chocolate.
12.Explain why dividing by a fraction can be changed into multiplying by its reciprocal. Include an example to support your explanation.
3 printable pages
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