Answer:
32/3 or 10 2 / 3 days
Step-by-step explanation:
To find out how long the milk will last, we divide the amount of milk by the amount consumed each day.
amount of milk = 8 pints
amount of milk consumed each day = 3/ 4 pint
therefore, the number of days the milk last is
![(8)/(3/4)](https://img.qammunity.org/2023/formulas/mathematics/college/ttf9vmmgztarn7utiq8dnylea6qj2ae87q.png)
which can be turned into multiplication by taking the reciprocal of the denominator
![8\cdot(4)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/v7w6cox6yv7h5yg7llbgnpipdzor1abzi7.png)
![=(32)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/w0ht3sxdy05i6ppl38kp9fqgg06h5aq2t1.png)
as a mixed fraction, the above is
![10(2)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/96o403m57yuecfe5oms95rek2m6hwl4hgm.png)
Hence, the milk will last 32/ 3 or 10 2/3 days.