Math / Numbers & Operations

QuestionWhile driving your rental car on your vacation in Europe, you find that you are getting $11.6 \mathrm{~km} / \mathrm{L}$ of gasoline. What does this value correspond to in miles per gallon? $11.6 \mathrm{~km} / \mathrm{L}=$ $\square$ $\frac{\mathrm{mi}}{\mathrm{gal}}$

Studdy Solution

STEP 1

1. We need to convert kilometers to miles and liters to gallons.
2. The conversion factors are: $1 \text{ km} = 0.621371 \text{ miles}$ and $1 \text{ liter} = 0.264172 \text{ gallons}$ .
3. The goal is to convert $11.6 \text{ km/L}$ to $\text{ mi/gal}$ .

STEP 2

1. Convert kilometers to miles.
2. Convert liters to gallons.
3. Combine the two conversions to obtain the result in miles per gallon.

STEP 3

Convert kilometers to miles using the conversion factor $1 \text{ km} = 0.621371 \text{ miles}$ .
$11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}}$

STEP 4

Perform the multiplication to convert kilometers to miles.
$11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}} = 7.2079096 \text{ miles/L}$

STEP 5

Convert liters to gallons using the conversion factor $1 \text{ liter} = 0.264172 \text{ gallons}$ .
$1 \text{ L} = 0.264172 \text{ gal}$

STEP 6

Express the conversion as a reciprocal to convert from miles per liter to miles per gallon.
$7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}}$

STEP 7

Perform the division to convert liters to gallons.
$7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}} = 27.287156 \text{ miles/gal}$

STEP 8

Round the final result for clarity.
$27.287156 \text{ miles/gal} \approx 27.29 \text{ miles/gal}$
Solution: $11.6 \text{ km/L} = 27.29 \text{ miles/gal}$

Was this helpful?

QuestionWhile driving your rental car on your vacation in Europe, you find that you are getting $11.6 \mathrm{~km} / \mathrm{L}$ of gasoline. What does this value correspond to in miles per gallon? $11.6 \mathrm{~km} / \mathrm{L}=$ $\square$ $\frac{\mathrm{mi}}{\mathrm{gal}}$

Studdy Solution

STEP 1

1. We need to convert kilometers to miles and liters to gallons.
2. The conversion factors are: $1 \text{ km} = 0.621371 \text{ miles}$ and $1 \text{ liter} = 0.264172 \text{ gallons}$ .
3. The goal is to convert $11.6 \text{ km/L}$ to $\text{ mi/gal}$ .

STEP 2

1. Convert kilometers to miles.
2. Convert liters to gallons.
3. Combine the two conversions to obtain the result in miles per gallon.

STEP 3

Convert kilometers to miles using the conversion factor $1 \text{ km} = 0.621371 \text{ miles}$ .
$11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}}$

STEP 4

Perform the multiplication to convert kilometers to miles.
$11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}} = 7.2079096 \text{ miles/L}$

STEP 5

Convert liters to gallons using the conversion factor $1 \text{ liter} = 0.264172 \text{ gallons}$ .
$1 \text{ L} = 0.264172 \text{ gal}$

STEP 6

Express the conversion as a reciprocal to convert from miles per liter to miles per gallon.
$7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}}$

STEP 7

Perform the division to convert liters to gallons.
$7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}} = 27.287156 \text{ miles/gal}$

STEP 8

Round the final result for clarity.
$27.287156 \text{ miles/gal} \approx 27.29 \text{ miles/gal}$
Solution: $11.6 \text{ km/L} = 27.29 \text{ miles/gal}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Studdy Solution

STEP 1

STEP 2

1. Convert kilometers to miles.2. Convert liters to gallons.3. Combine the two conversions to obtain the result in miles per gallon.

STEP 3

Convert kilometers to miles using the conversion factor 1 km=0.621371 miles1 \text{ km} = 0.621371 \text{ miles}1 km=0.621371 miles.11.6 km/L×0.621371mileskm 11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}} 11.6 km/L×0.621371kmmiles​

STEP 4

Perform the multiplication to convert kilometers to miles.11.6 km/L×0.621371mileskm=7.2079096 miles/L 11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}} = 7.2079096 \text{ miles/L} 11.6 km/L×0.621371kmmiles​=7.2079096 miles/L

STEP 5

Convert liters to gallons using the conversion factor 1 liter=0.264172 gallons1 \text{ liter} = 0.264172 \text{ gallons}1 liter=0.264172 gallons.1 L=0.264172 gal 1 \text{ L} = 0.264172 \text{ gal} 1 L=0.264172 gal

STEP 6

Express the conversion as a reciprocal to convert from miles per liter to miles per gallon.7.2079096 miles/L×10.264172Lgal 7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}} 7.2079096 miles/L×0.2641721​galL​

STEP 7

Perform the division to convert liters to gallons.7.2079096 miles/L×10.264172Lgal=27.287156 miles/gal 7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}} = 27.287156 \text{ miles/gal} 7.2079096 miles/L×0.2641721​galL​=27.287156 miles/gal

STEP 8

Round the final result for clarity.27.287156 miles/gal≈27.29 miles/gal 27.287156 \text{ miles/gal} \approx 27.29 \text{ miles/gal} 27.287156 miles/gal≈27.29 miles/galSolution: 11.6 km/L=27.29 miles/gal 11.6 \text{ km/L} = 27.29 \text{ miles/gal} 11.6 km/L=27.29 miles/gal

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Convert kilometers to miles.
2. Convert liters to gallons.
3. Combine the two conversions to obtain the result in miles per gallon.

Convert kilometers to miles using the conversion factor $1 \text{ km} = 0.621371 \text{ miles}$ .
$11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}}$

Perform the multiplication to convert kilometers to miles.
$11.6 \text{ km/L} \times 0.621371 \frac{\text{miles}}{\text{km}} = 7.2079096 \text{ miles/L}$

Convert liters to gallons using the conversion factor $1 \text{ liter} = 0.264172 \text{ gallons}$ .
$1 \text{ L} = 0.264172 \text{ gal}$

Express the conversion as a reciprocal to convert from miles per liter to miles per gallon.
$7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}}$

Perform the division to convert liters to gallons.
$7.2079096 \text{ miles/L} \times \frac{1}{0.264172} \frac{\text{L}}{\text{gal}} = 27.287156 \text{ miles/gal}$

Round the final result for clarity.
$27.287156 \text{ miles/gal} \approx 27.29 \text{ miles/gal}$
Solution: $11.6 \text{ km/L} = 27.29 \text{ miles/gal}$