Ile 30 HW atios \& Percents] A disc has a diameter of 28 centimeters while a mini disc has a diameter of 12 centimeters. Write the ratio of the mini disc diameter to the disc diameter. The ratio of the mini disc diameter to the disc diameter is (Type the ratio as a simplified fraction.)

To find the ratio of the mini disc diameter to the disc diameter, you take the diameter of the mini disc (12 cm) and compare it to the diameter of the disc (28 cm). This gives you the fraction \(\frac{12}{28}\). Simplifying this fraction by dividing both the numerator and denominator by 4 results in \(\frac{3}{7}\). So, the ratio is \(\frac{3}{7}\). Now, let's think about why ratios are essential! They help us compare sizes and proportions, whether it’s in cooking, crafting, or building. For instance, if you're baking and need to adjust a recipe for a smaller pan, understanding ratios allows you to scale your ingredients proportionally without the mess of trial and error. Also, keep in mind that ratios are everywhere in life! From comparing prices while shopping to figuring out the best deals, understanding how to simplify and convert ratios will give you a significant advantage. For a great practice on ratios and percentages, look for online math games or interactive worksheets that can help solidify this knowledge while having fun!