Answer: [tex]\dfrac{11}{50}[/tex]
Step-by-step explanation:
Given : When students at Luray Middle School were surveyed, 22% said they would like hamburgers at lunch rather than hotdogs.
We know that to convert a percent into a fraction , we need to divide the percent by 100 , we get
[tex]22\%=\dfrac{22}{100}[/tex]
Which can be written as :[tex]\dfrac{2\times11}{2\times50}[/tex]
Cancel out 2 from the numerator and the denominator , we get
[tex]\dfrac{11}{50}[/tex]
Hence, 22% rounded to the nearest compatible fraction [tex]\dfrac{11}{50}[/tex]