3. \( \frac{4}{8}=\frac{}{24} \)
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To solve for the missing numerator, we can set up a proportion. Since \(\frac{4}{8} = \frac{x}{24}\), we can cross-multiply: \(4 \times 24 = 8 \times x\). This gives us \(96 = 8x\). Dividing both sides by 8, we find \(x = 12\). So, \(\frac{4}{8}=\frac{12}{24}\). Fun fact: The fraction \(\frac{4}{8}\) can be simplified. If you divide both the numerator and denominator by 4, you get \(\frac{1}{2}\)! This means \(\frac{12}{24}\) can also be simplified to \(\frac{1}{2}\). It's like a little fraction party where everyone gets to join in on the fun! In everyday life, fractions are everywhere! Whether you're cooking and need to halve a recipe or dividing a pizza among friends, understanding how to manipulate fractions makes life a whole lot easier. They help ensure that everyone gets the right amount, making sure nobody ends up with a smaller slice of pie—unless they want the smallest, of course!