The problem in the image asks:

On Friday, Marco sold 4 1/2 pitchers of lemonade. On Saturday, he sold 2 5/6 times as much lemonade as on Friday. How many pitchers of lemonade did Marco sell on Saturday? Simplify your answer and write it as a fraction or as a whole or mixed number.

Step-by-step solution:

1. Convert mixed numbers to improper fractions:

   • For Friday: $4 \frac{1}{2}$ becomes $\frac{9}{2}$.
   • For the multiplier on Saturday: $2 \frac{5}{6}$ becomes $\frac{17}{6}$.

2. Multiply the two improper fractions: $\frac{9}{2} \times \frac{17}{6} = \frac{9 \times 17}{2 \times 6} = \frac{153}{12}$

3. Simplify the fraction: $\frac{153}{12} = \frac{51}{4}$

4. Convert the improper fraction back to a mixed number: $\frac{51}{4} = 12 \frac{3}{4}$

So, Marco sold 12 3/4 pitchers of lemonade on Saturday.

Would you like further details or have any questions?

Here are 5 related questions for more practice:

1. If Marco sold 3 1/3 pitchers on Friday and 1 3/4 times as much on Saturday, how many pitchers did he sell on Saturday?
2. How would the answer change if Marco sold 5 1/4 pitchers on Friday and 2 1/3 times as much on Saturday?
3. What if Marco sold 7 pitchers on Friday and 3 times as much on Saturday?
4. Can you explain how to multiply two mixed numbers step-by-step?
5. How do you convert an improper fraction back to a mixed number?

Tip: Always convert mixed numbers into improper fractions before multiplying to avoid mistakes.