What numerator makes these fractions equivalent? \( \frac{3}{6}=\frac{?}{10} \)

To find the numerator that makes the fractions equivalent, you can set up a proportion. Since \( \frac{3}{6} = \frac{?}{10} \), you can cross-multiply: \( 3 \times 10 = 6 \times ? \). This simplifies to \( 30 = 6? \). Dividing both sides by 6 gives you the answer: \( ? = 5 \). So, \( \frac{3}{6} = \frac{5}{10} \)! Now you’ve seen how fractions can be manipulated! When you understand the underlying principles and how to work with proportions, it makes solving these kinds of problems a breeze—even if you come across bigger numbers. These proportions can appear in many scenarios, like cooking recipes and scaling measurements!