High School

Find the odd one out.

$\frac{1}{3}$ of 6, $\frac{1}{4}$ of 8, $\frac{1}{5}$ of 15, $\frac{1}{6}$ of 12.

Show working to explain your answer.

Answer :

To find the odd one out from the given options, we'll calculate each fraction of the numbers provided and compare the results.


  1. [tex]\frac{1}{3} \text{ of } 6[/tex]:

    [tex]\frac{1}{3} \times 6 = 2[/tex]


  2. [tex]\frac{1}{4} \text{ of } 8[/tex]:

    [tex]\frac{1}{4} \times 8 = 2[/tex]


  3. [tex]\frac{1}{5} \text{ of } 15[/tex]:

    [tex]\frac{1}{5} \times 15 = 3[/tex]


  4. [tex]\frac{1}{6} \text{ of } 12[/tex]:

    [tex]\frac{1}{6} \times 12 = 2[/tex]



From these calculations, we see the results:


  • [tex]\frac{1}{3} \text{ of } 6 = 2[/tex]

  • [tex]\frac{1}{4} \text{ of } 8 = 2[/tex]

  • [tex]\frac{1}{6} \text{ of } 12 = 2[/tex]

  • [tex]\frac{1}{5} \text{ of } 15 = 3[/tex]


The values are 2, 2, 3, and 2 respectively. The number [tex]3[/tex] is different from the others, which are [tex]2[/tex].

Thus, [tex]\frac{1}{5} \text{ of } 15[/tex] is the odd one out.

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