Question

Over the weekend, Miguel drank 3 bottles of soda and Karen drank 4/5 of a bottle. How much more soda did Miguel drink than Karen?

Write your answer as a fraction or as a whole or mixed number.

bottles

Answer 1

To find out how much more soda Miguel drank than Karen, we need to subtract the amount of soda Karen drank from the amount Miguel drank.

Miguel drank 3 bottles of soda, and Karen drank \( \frac{4}{5} \) of a bottle.

We can express the amounts in the same form:

- Miguel's consumption: \( 3 = \frac{15}{5} \) (since \( 3 = \frac{3 \times 5}{5} = \frac{15}{5} \))
- Karen's consumption: \( \frac{4}{5} \)

Now, we can calculate the difference:

\[
\frac{15}{5} - \frac{4}{5} = \frac{15 - 4}{5} = \frac{11}{5}
\]

Now we can convert \( \frac{11}{5} \) into a mixed number:

\[
\frac{11}{5} = 2 \text{ with a remainder of } 1
\]

So, it can be expressed as:

\[
2 \frac{1}{5}
\]

Thus, Miguel drank \( \frac{11}{5} \) bottles more than Karen, which is also \( 2 \frac{1}{5} \) bottles.

**Final Answer: \( \frac{11}{5} \text{ or } 2 \frac{1}{5} \text{ bottles} \)**