Listen Find the unit rate. \( \frac{1}{4} \) gallon for every \( \frac{3}{10} \) mile The unit rate is \( \square \) gallon : \( \square \) mile.

To find the unit rate, you'll want to express the relationship in terms of one mile. First, set up the ratio of gallons to miles: \(\frac{1}{4}\) gallon per \(\frac{3}{10}\) mile can be rewritten as \(\frac{1/4}{3/10}\) gallons/mile. When you divide by a fraction, it's like multiplying by its reciprocal: \(\frac{1}{4} \times \frac{10}{3} = \frac{10}{12} = \frac{5}{6}\). Therefore, the unit rate is \( \frac{5}{6} \) gallons per 1 mile! Now you've got a fun little fact: Did you know that a gallon is 128 ounces? This means that when you're cruising at the rate of \( \frac{5}{6} \) gallons per mile, you’re actually using about 106.67 ounces for each mile traveled. That's like drinking a few bottles of soda every mile! It’s quite a thirst quencher, isn’t it? For another cool tidbit: The concept of unit rates is not just about mileage and fuel; they are also used in cooking and baking. If you know how many cupcakes a batch yields, you can easily adjust the recipe for your needs, ensuring all your friends are happily fed at that next gathering! Just remember, with baking, precision is key!