First, let's determine the fraction represented by the model. If a circle is divided into 8 equal parts and 5 parts are shaded, the fraction represented by the model is:
\[ \frac{5}{8} \]
Now, let's compare \(\frac{5}{8}\) with each of the given options.
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Three-fourths: \(\frac{3}{4}\) is equivalent to \(\frac{6}{8}\) when converted to have a common denominator.
- \(\frac{3}{4} = \frac{6}{8}\) (greater than \(\frac{5}{8}\))
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StartFraction 11 Over 16: To compare \(\frac{11}{16}\) with \(\frac{5}{8}\), we need a common denominator. The least common multiple of 8 and 16 is 16.
- Convert \(\frac{5}{8}\) to have a denominator of 16: \[ \frac{5}{8} = \frac{10}{16} \]
- Since \(11 > 10\), \(\frac{11}{16}\) (greater than \(\frac{5}{8}\))
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StartFraction 13 Over 16: As with the previous step:
- \(13 > 10\) means \(\frac{13}{16}\) is also greater than \(\frac{5}{8}\).
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StartFraction 2 Over 4: \(\frac{2}{4}\) simplifies to \(\frac{1}{2}\).
- To compare \(\frac{1}{2}\) with \(\frac{5}{8}\): \(\frac{1}{2} = \frac{4}{8}\) (less than \(\frac{5}{8}\)).
Thus, the fraction that is less than \(\frac{5}{8}\) is:
\[ \boxed{\frac{2}{4}} \]