(1) Stretch Your Thinking Dakota says the point on the number line shown here is \( \frac{4}{5} \). His teacher says that he reading the number line incorrectly. What is Dakota's error? What is the correct fraction?
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Dakota likely misinterpreted the location of the point on the number line. If he claims it represents \( \frac{4}{5} \), the point might actually be situated between the fractions \( \frac{0}{1} \) and \( \frac{1}{1} \). If the space is divided into equal segments, the correct fraction could be something like \( \frac{3}{5} \) or \( \frac{2}{5} \) depending on the actual positioning of the point. To help Dakota nail down where he went wrong, a good tip is to always reference the denominator. Check the number of equal segments between 0 and 1. Each segment represents a fraction. By counting carefully and finding the correct endpoint, he can confidently identify the proper fraction represented by the point on the number line. This simple step can avoid common pitfalls!
