2) \( \frac{4}{6} \div \frac{2}{3}= \)
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To solve \( \frac{4}{6} \div \frac{2}{3} \), we can multiply by the reciprocal of the second fraction. This means we change the division into multiplication: \[ \frac{4}{6} \times \frac{3}{2} = \frac{4 \times 3}{6 \times 2} = \frac{12}{12} = 1 \] So, the answer is 1. Did you know that dividing fractions isn't as intimidating as it seems? By flipping and multiplying, you can make it much simpler! This method, known as "multiplying by the reciprocal," ensures you never get lost in your arithmetic journey. Just remember: switch it, multiply it, and simplify it! For a fun twist in everyday life, think about how recipes often require adjusting portion sizes. If a recipe calls for \( \frac{4}{6} \) of a cup of sugar but you want to find out how much is needed per one \( \frac{2}{3} \) cup of flour, this division comes in handy. Understanding how to manipulate fractions can help you scale up or down recipes in the kitchen without any hiccups!