The expression 12 g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5(1)/(2) liters of gasoline? km

Understand Given Expression: Understand the given expression and what is asked. The expression 12g tells us that the car can travel 12 kilometers for every liter of gasoline (where g represents the number of liters of gasoline). We need to find out how far the car can travel on 5(1)/(2) liters of gasoline.Convert to Improper Fraction: Convert the mixed number 5(1)/(2) liters into an improper fraction to make the calculation easier. 5(1)/(2) liters is the same as (5 * 2 + 1)/2 = (10 + 1)/2 = 11/2 liters.Multiply Kilometers per Liter: Multiply the number of kilometers per liter by the number of liters of gasoline to find the total distance. Using the expression 12g, where g is now 11/2 liters, we calculate the distance as follows: Distance = 12 * (11/2) kmPerform Multiplication: Perform the multiplication to find the total distance. Distance = 12 * 11/2 Distance = (12 * 11) / 2 Distance = 132 / 2 Distance = 66 km

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The expression
12 g gives the number of kilometers a car can travel using
g liters of gasoline.
How far can this car travel on
5(1)/(2) liters of gasoline?

km

The expression $12 g$ gives the number of kilometers a car can travel using $g$ liters of gasoline. $\newline$ How far can this car travel on $5 \frac{1}{2}$ liters of gasoline? $\newline$ $\mathrm{km}$

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Q. The expression

12 g

gives the number of kilometers a car can travel using

g

liters of gasoline.

\newline

How far can this car travel on

5 \frac{1}{2}

liters of gasoline?

\newline

\mathrm{km}

Understand Given Expression: Understand the given expression and what is asked. $\newline$ The expression $12g$ tells us that the car can travel $12$ kilometers for every liter of gasoline (where $g$ represents the number of liters of gasoline). We need to find out how far the car can travel on $5\frac{1}{2}$ liters of gasoline.
Convert to Improper Fraction: Convert the mixed number $5\frac{1}{2}$ liters into an improper fraction to make the calculation easier. $\newline$ $5\frac{1}{2}$ liters is the same as $\left(5 \times 2 + 1\right)/2 = \left(10 + 1\right)/2 = \frac{11}{2}$ liters.
Multiply Kilometers per Liter: Multiply the number of kilometers per liter by the number of liters of gasoline to find the total distance. $\newline$ Using the expression $12g$ , where $g$ is now $\frac{11}{2}$ liters, we calculate the distance as follows: $\newline$ Distance = $12 \times \left(\frac{11}{2}\right)$ km
Perform Multiplication: Perform the multiplication to find the total distance. $\newline$ Distance = $12 \times \frac{11}{2}$ $\newline$ Distance = $(12 \times 11) / 2$ $\newline$ Distance = $132 / 2$ $\newline$ Distance = $66$ km