N1d – Ordering fractions

This is the students’ version of the page. Log in above for the teachers’ version.

Ordering fractions

Click the tabs for extension tasks…

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.
  1. What is the smallest fraction you can make?
  2. What is the largest fraction you can make?
Hover for answers:
  1.   \(\dfrac{5}{8}\)
  2.   \(\dfrac{8}{5}\)

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.
  1. What is the second largest fraction you can make?
  2. What is the third largest fraction you can make?
  3. What is the largest proper fraction you can make? (A proper fraction must be strictly less than 1.)
Hover for answers:
  1.   \(\dfrac{7}{5}\)
  2.   \(\dfrac{8}{6}\)
  3.   \(\dfrac{7}{8}\)

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?
Hover for answer:
  •   12 different fractions
Teacher resources

Teachers: log in to access the following:

  • Slides in PPTX (with click-to-reveal answers)
  • Slides in PDF (one slide per page, suitable for importing into IWB software)
Links to past exam and UKMT questions

Teachers: log in to access these.

Unlimited practice questions: Ordering fractions
In the real world

Teachers: log in to view this content.