Question

bottle contains 2/9 liters of soda. Amy has 12 of these bottles.
How much soda does she have in all?
Write your answer in simplest form.

Answer 1

To find out how much soda Amy has in total, we can multiply the amount of soda in one bottle by the number of bottles she has.

Each bottle contains \( \frac{2}{9} \) liters of soda, and she has 12 bottles:

\[
\text{Total soda} = 12 \times \frac{2}{9}
\]

To multiply, we can treat the 12 as a fraction:

\[
12 = \frac{12}{1}
\]

Now we perform the multiplication:

\[
\text{Total soda} = \frac{12}{1} \times \frac{2}{9} = \frac{12 \times 2}{1 \times 9} = \frac{24}{9}
\]

Next, we simplify \( \frac{24}{9} \). The greatest common divisor of 24 and 9 is 3.

Now we divide the numerator and the denominator by 3:

\[
\frac{24 \div 3}{9 \div 3} = \frac{8}{3}
\]

Thus, Amy has \( \frac{8}{3} \) liters of soda in total.

In mixed number form, this can also be expressed as \( 2 \frac{2}{3} \) liters.

The answer in simplest form is:

\[
\frac{8}{3} \text{ liters}
\]