# If one gallon equals 3.78 litres, how many litres are there in three gallons?

Apr 11, 2018

11.34L

#### Explanation:

So you have this ratio of gallons to liters:

$1 : 3.78$

Multiply the number of gallons by 3 to get 3 gallons, and to keep the same ratio, you must also multiply the liters by 3 as well.

$3 : 11.34$

Apr 11, 2018

$11.34 \text{ litres}$

#### Explanation:

Using ratio in fraction format. Note that this is not a fraction but a direct comparison of counts.

$\left(\text{litrs")/("gallons}\right) \to \frac{3.78}{1}$

But we need 3 gallons so we need to change the 1 into the value of 3.

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

$\textcolor{g r e e n}{\left(\text{litrs")/("gallons")->3.78/1color(red)(xx1) color(white)("ddd") ->color(white)("ddd") 3.78/1color(red)(xx3/3)color(white)("d") =color(white)("d}\right) \frac{11.34}{3}}$

color(white)("d")