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Prerequisites

# Ordering fractions

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You have four cards, numbered 5, 6, 7 and 8. You may pick one card to be the numerator and one card to be the denominator of a fraction.

- What is the smallest fraction you can make?
- What is the largest fraction you can make?

- \(\dfrac{5}{8}\)
- \(\dfrac{8}{5}\)

You have four cards, numbered 5, 6, 7 and 8. You may pick one card to be the numerator and one card to be the denominator of a fraction.

- What is the second largest fraction you can make?
- What is the third largest fraction you can make?
- What is the largest
*proper fraction*you can make? (A proper fraction must be strictly less than 1.)

- \(\dfrac{7}{5}\)
- \(\dfrac{8}{6}\)
- \(\dfrac{7}{8}\)

You have four cards, numbered 5, 6, 7 and 8. You may pick one card to be the numerator and one card to be the denominator of a fraction.

- How many different fractions can you create?

- 12 different fractions

Teacher resources

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- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

- Skills drill worksheet (20 questions on one side of A4; answers included)

Links to past exam and UKMT questions

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Unlimited practice questions: Ordering fractions

In the real world

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