Copyright © University of Cambridge. All rights reserved.

'Cubic Fractions' printed from

Show menu

Which of the following has the greatest value?

(a) $\left(\frac{11}{7}\right)^3$

(b) $\left(\frac{5}{3}\right)^3$

(c) $\left(\frac{7}{4}\right)^3$

(d) $\left(\frac{9}{5}\right)^3$

(e) $\left(\frac{3}{2}\right)^3$

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem