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on a long hike, brian drank 5 pints of water. how much did he drink in …

Question

on a long hike, brian drank 5 pints of water. how much did he drink in quarts? write your answer as a whole number or a mixed number in simplest form. include the correct unit in your answer.

Explanation:

Step1: Recall the conversion factor

We know that 1 quart (qt) is equal to 2 pints (pt). So the conversion factor from pints to quarts is $\frac{1\ \text{qt}}{2\ \text{pt}}$.

Step2: Convert pints to quarts

To convert 5 pints to quarts, we multiply the number of pints by the conversion factor. So we have $5\ \text{pt} \times \frac{1\ \text{qt}}{2\ \text{pt}}$. The "pt" units cancel out, and we are left with $\frac{5}{2}\ \text{qt}$.

Step3: Simplify the fraction

$\frac{5}{2}$ as a mixed number is $2\frac{1}{2}$.

Answer:

$2\frac{1}{2}$ quarts