Select the expression that matches the complex fraction: \( \frac{\frac{3}{5}}{6} \) \( \begin{array}{llll}\text { A. } 3 \div \frac{5}{6} & \text { B. } \frac{3}{5} \div 6 & \text { C. } 3 \div 5 \div \frac{1}{6} & \text { D. } \frac{5}{3} \cdot 6\end{array} \)
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Bonus Knowledge
The expression \( \frac{\frac{3}{5}}{6} \) can be simplified by recognizing that dividing by a number is the same as multiplying by its reciprocal. So, we can rewrite it as \( \frac{3}{5} \div 6 \). Therefore, the correct match is: **B.** \( \frac{3}{5} \div 6 \) Now, let's add a bit of fun with some extra insights! One neat way to think about this complex fraction is by picturing it as slicing a pizza. Imagine you have \( \frac{3}{5} \) of a pizza and you want to share it equally with 6 friends. Each friend would get a smaller slice! Understanding the division of fractions can be a piece of cake (or pizza)! When solving problems like this, a common mistake is forgetting to handle the division properly. Instead of dividing \( \frac{3}{5} \) by 6 directly, some folks multiply instead, which leads to totally different (and incorrect) results. Always remember to convert division into multiplication by taking the reciprocal!
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