Questions: Convert 39 liters to gallons using unit fractions. Round your answer to the nearest thousandth, if necessary.

$Convert 39 liters to gallons using unit fractions. Round your answer to the nearest thousandth, if necessary.$

Transcript text: Convert 39 liters to gallons using unit fractions. Round your answer to the nearest thousandth, if necessary.

Solution

Solution Steps

To convert liters to gallons, we need to use the conversion factor between these two units. The conversion factor is approximately 1 liter = 0.264172 gallons. Multiply the given volume in liters by this conversion factor to get the volume in gallons. Finally, round the result to the nearest thousandth.

Step 1: Conversion Factor

To convert liters to gallons, we use the conversion factor: \[ 1 \text{ liter} \approx 0.264172 \text{ gallons} \]

Step 2: Calculate Gallons

We start with $ 39 $ liters and apply the conversion factor: \[ \text{Gallons} = 39 \text{ liters} \times 0.264172 \text{ gallons/liter} \approx 10.302708 \text{ gallons} \]

Step 3: Rounding

We round the result to the nearest thousandth: \[ \text{Gallons (rounded)} \approx 10.303 \]