b) \( \frac{6}{4} \div \frac{1}{4} \)
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The Deep Dive
To tackle the expression \( \frac{6}{4} \div \frac{1}{4} \), we can remember that dividing by a fraction is the same as multiplying by its reciprocal. So, we flip \( \frac{1}{4} \) and multiply: \[ \frac{6}{4} \times \frac{4}{1} = \frac{6 \cdot 4}{4 \cdot 1} = \frac{24}{4} = 6. \] Thus, the final result is 6! Now, let’s have some fun with fractions. Did you know that the simplest way to visualize fractions is by thinking about pizza? If you have a pizza cut into 4 slices, grabbing 6 of those slices means you’re not just hungry; you’ve gone for 1.5 pizzas! This playful approach can help make fractions more relatable and easier to handle. When working with fractions, a common mistake is forgetting to simplify. After performing any operation, always check to see if you can reduce your result into its simplest form. For instance, in the original expression, \( \frac{6}{4} \) can be simplified before dividing—so it could have been represented as \( \frac{3}{2} \), which may lead to a clearer path for solving and understanding the operation!