Pride of place

Two fractions have been placed on a number line. Where should another fraction be placed?
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Problem

The fractions $\frac{1}{3}$ and $\frac{1}{5}$ have been placed on the number-line shown.

At which position should the fraction $\frac{1}{4}$ be placed?

 

 

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Pride of Place
 

 

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