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Did you know that the fraction \( \frac{21}{6} \) can be simplified? If you divide both the numerator and the denominator by 3, you get \( \frac{7}{2} \). This tells us that \( \frac{21}{6} \) is actually equal to \( 3.5 \) when converted to a decimal. So while \( 3 \frac{1}{3} \) equals \( \frac{10}{3} \) or approximately \( 3.33 \), \( \frac{21}{6} \) is the larger value, sitting comfortably at \( 3.5 \)! If you're ever confused about fractions and mixed numbers, a quick tip is to always convert them to a uniform format like improper fractions or decimals before comparing. It makes it way easier and helps avoid common mistakes, such as misjudging which number is larger or filling out those pesky math assignments!