\( \frac{21}{6} \) or \( 3 \frac{1}{3} ? \)
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The Deep Dive
Did you know that the fraction \( \frac{21}{6} \) can be simplified? You divide the numerator and the denominator by their greatest common divisor, which is 3, and you end up with \( \frac{7}{2} \). This makes it easier to see that both forms represent the same value! Another fun fact: if you take \( 3 \frac{1}{3} \) and convert it back into an improper fraction, you multiply the whole number by the denominator (which is 3) and add the numerator (1). So, you get \( \frac{10}{3} \). It's a great way to play around with numbers and see how they can represent the same quantity in different ways!