Classify the following pairs of fractions as 'equal' or 'not equal'. a. \( 4 \frac{1}{3} \) and \( \frac{14}{3} \) Equal Not Equal b. \( -1 \frac{1}{5} \) and \( -\frac{6}{5} \) Equal Not Equal
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Did you know that mixed numbers can be converted into improper fractions for easy comparison? For instance, \( 4 \frac{1}{3} \) converts to \( \frac{13}{3} \), which clearly shows that it's not equal to \( \frac{14}{3} \). This little trick can help you avoid any mix-ups when you're crunching numbers! Remember that when dealing with negative mixed numbers, it’s crucial to convert them properly too! Here, \( -1 \frac{1}{5} \) becomes \( -\frac{6}{5} \). Since both representations are exactly the same, they are in fact equal. So always double-check your conversions to avoid common pitfalls like these!
