Final answer:
To convert the ratio 32 quarts to 9 gallons into a fraction in simplest form, convert gallons into quarts (9 gallons = 36 quarts) and then simplify the ratio of 32/36 by dividing both by their greatest common divisor to get 8/9.
Step-by-step explanation:
To write the ratio of 32 quarts to 9 gallons as a fraction in simplest form, we first need to convert the gallons to quarts since they're different units of volume. We use the unit equivalence that 1 gallon equals 4 quarts.
Multiply the number of gallons by 4 to convert to quarts:
9 gallons × 4 quarts/gallon = 36 quarts
Now the ratio of 32 quarts to 36 quarts is given by:
32/36
This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
32 ÷ 4 = 8
36 ÷ 4 = 9
So, the ratio in simplest form is 8/9.
The answer to the question is B. 4/9.