Answer:
1 1/2 quarts of water
Step-by-step explanation:
If she drinks 1/4 quart of water for every mile, in 6 miles, she will drink 6 times 1/4 quart of water, so
![6*(1)/(4)=(6)/(1)*(1)/(4)=(6*1)/(1*4)=(6)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/1lwjnkpja69kf9l75lmmwnixrssn9c3fju.png)
Now, we can simplify the fraction dividing the numerator and denominator by 2
![(6)/(4)=(6/2)/(4/2)=(3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/cicyrnk3864h0lo9p20xnj9153t01e7uvi.png)
Now to convert 3/2 to a mixed number, let's divide 3 by 2
Since 1 is the quotient and 1 is the remainder, the mixed number is
![\begin{gathered} (3)/(2)=\text{Quotient}\frac{\text{ Remainder}}{2} \\ (3)/(2)=1(1)/(2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6mlly3bjguovrgwvxep3kw8xcigecg9yko.png)
So, the answer is;
1 1/2 quarts of water.