Question

mr. thompson is a cook at a restaurant that serves breakfast. on tuesday, he used $5\frac{9}{16}$ pounds of pancake mix. on wednesday, he used $4\frac{1}{8}$ pounds of pancake mix.

Explanation:

Since the problem statement is incomplete (it doesn't ask a specific question like finding the total, difference, etc.), we can't provide a solution yet. If you want to find the total amount of pancake mix used, the difference, or any other related calculation, please clarify the question. For example, if it's to find the total, we would add the two mixed numbers. Let's assume the question is to find the total pounds of pancake mix used on Tuesday and Wednesday.

Step1: Convert mixed numbers to improper fractions

Tuesday: $5\frac{9}{16}=\frac{5\times16 + 9}{16}=\frac{80+9}{16}=\frac{89}{16}$
Wednesday: $4\frac{1}{8}=\frac{4\times8+1}{8}=\frac{32 + 1}{8}=\frac{33}{8}$

Step2: Make the denominators the same for addition

We need to get a common denominator for $\frac{89}{16}$ and $\frac{33}{8}$. The common denominator of 16 and 8 is 16. So we rewrite $\frac{33}{8}$ as $\frac{33\times2}{8\times2}=\frac{66}{16}$

Step3: Add the two fractions

$\frac{89}{16}+\frac{66}{16}=\frac{89 + 66}{16}=\frac{155}{16}$

Step4: Convert back to mixed number (if needed)

$\frac{155}{16}=9\frac{11}{16}$ (since 16×9 = 144 and 155 - 144 = 11)

Answer:

If the question was to find the total, the answer is $9\frac{11}{16}$ pounds. But since the original problem didn't specify the question, please provide the specific question (like total, difference, etc.) to get the exact answer.