Final answer:
The fraction representing the ratio of 2 quarts to 2 gallons in simplest form is 1/4, using the conversion factor that 1 gallon equals 4 quarts.
Step-by-step explanation:
To find the fraction that represents the ratio of 2 quarts to 2 gallons in simplest form, we need to understand the relationship between quarts and gallons. Using the conversion factor of 1 gallon being equivalent to 4 quarts, we can multiply the number of gallons by 4 to find the equivalent number of quarts.
So, 2 gallons is equal to 2 × 4 quarts, which is 8 quarts. Therefore, the ratio of 2 quarts to 2 gallons simplifies to 2 quarts / 8 quarts, which reduces to 1/4 when we divide both the numerator and the denominator by 2.