Write and solve a proportion to complete the statement. Round your answer to the nearest hundredth.
2.5 L ≈ x gal
The proportion would be 2.5L ( 1 gal/3.78 L) use a simple unit conversion
To write and solve a proportion, we need to set up a ratio of equivalent quantities. Since we want to convert liters (L) to gallons (gal), we need to use the conversion factor that relates the two units.
The conversion factor for liters to gallons is 1 L = 0.264172 gal.
So, the proportion we can write is:
2.5 L / x gal = 1 L / 0.264172 gal
To solve for x, we can cross-multiply and then divide:
2.5 L * 0.264172 gal = x gal * 1 L
0.66043 gal = x gal
Therefore, 2.5 liters is approximately equal to 0.66 gallons, rounded to the nearest hundredth.