Given:
A student used the proportion
to find 5% of 26.
To find:
The student's mistake.
Solution:
Let 5% of 26 be n. Then,
![n=(5)/(100)* 26](https://img.qammunity.org/2022/formulas/mathematics/high-school/zpfshcsd3vd5ks026rhxtufmsu9ldvi6xc.png)
On dividing both sides by 26, we get
![(n)/(26)=(5)/(100)](https://img.qammunity.org/2022/formulas/mathematics/high-school/7ow7soyvpgw256pwfuwal67crz5hjq1f1f.png)
So, the proportion used by the student was incorrect. The denominators of the proportion are interchanged.