Answer:
\(\frac{1}{2}\) lawn
Step-by-step explanation:
The rate of \(\frac{1}{2}\) gallon of gasoline per \(\frac{1}{4}\) lawn mowed.
We will solve it by unitary method.
∵ \(\frac{1}{2}\) gallon of gasoline is used to mow \(\frac{1}{4}\) lawn.
∴ 1 gallon of gasoline is used to mow = \(\frac{\frac{1}{4}}{\frac{1}{2}}\)
= \(\frac{1}{4}\) × \(\frac{2}{1}\)
= \(\frac{2}{4}\)
= \(\frac{1}{2}\) lawn
you can mow \(\frac{1}{2}\) lawn with one gallon of gasoline.
