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, we divide the number of gallons by the number of miles: \[ \frac{\frac{1}{4}}{\frac{3}{10}} = \frac{1}{4} \times \frac{10}{3} = \frac{10}{12} = \frac{5}{6} \] This means the unit rate is \( \frac{5}{6} \) gallon for every 1 mile. Imagine driving in a slick road trip going 1 mile and burning \( \frac{5}{6} \) of a gallon! It’s a delightful way to see how much fuel you use per mile, making your road trips not just scenic but also economical. Who knew math could fuel your adventures? Now, if you spend a little time calculating this with fuel prices in your area, it becomes a fun budget challenge! Knowing how many gallons you’ll use helps you plan your pit stops better and save on gas costs, creating a blend of savings and smart travel. Plus, it's a great icebreaker for road trip conversations!