To represent the fraction \( \frac{13}{8} \) using a circle, Jason can follow these steps:
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Understanding the fraction: The numerator (13) indicates how many parts we have, and the denominator (8) indicates how many equal parts the entire circle is divided into.
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Dividing the circle: Since the denominator is 8, Jason should divide the circle into 8 equal parts. This way, each part of the circle represents \( \frac{1}{8} \) of the whole.
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Representing \( \frac{13}{8} \): With the circle divided into 8 parts, to show \( \frac{13}{8} \), Jason would need to demonstrate more than one whole (since \( 8/8 \) represents 1 whole). Specifically, representing \( 13 \) means:
- He can fully use all 8 parts to show one complete circle (which represents \( \frac{8}{8} \)).
- For the remaining parts, he would need to show an additional 5 parts out of another circle divided into 8 parts (to account for the \( \frac{5}{8} \)).
Thus, to effectively illustrate \( \frac{13}{8} \) on the board with a circle, he should divide the circle into 8 equal parts.
Final answer: 8 equal parts.