To determine the total weight of the ingredients for the meatloaf recipe, let's break it down step by step:
1. Ground Beef:
- The recipe calls for [tex]\(1 \frac{3}{4}\)[/tex] pounds of ground beef.
- Convert the mixed number to an improper fraction:
[tex]\(1 \frac{3}{4} = 1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4}\)[/tex].
- In decimal form, [tex]\(\frac{7}{4}\)[/tex] is 1.75 pounds.
2. Onions:
- The recipe calls for [tex]\(1 \frac{1}{3}\)[/tex] pounds of onions.
- Convert the mixed number to an improper fraction:
[tex]\(1 \frac{1}{3} = 1 + \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3}\)[/tex].
- In decimal form, [tex]\(\frac{4}{3}\)[/tex] is approximately 1.3333 pounds.
3. Ground Sausage:
- The recipe calls for [tex]\(1 \frac{1}{6}\)[/tex] pounds of ground sausage.
- Convert the mixed number to an improper fraction:
[tex]\(1 \frac{1}{6} = 1 + \frac{1}{6} = \frac{6}{6} + \frac{1}{6} = \frac{7}{6}\)[/tex].
- In decimal form, [tex]\(\frac{7}{6}\)[/tex] is approximately 1.1667 pounds.
4. Total Weight:
- Now, add the weights of all the ingredients together:
[tex]\[
1.75 \text{ pounds (ground beef)} + 1.3333 \text{ pounds (onions)} + 1.1667 \text{ pounds (ground sausage)}
\][/tex]
[tex]\[
1.75 + 1.3333 + 1.1667 = 4.25 \text{ pounds}
\][/tex]
Therefore, the total weight of the ground beef, onions, and ground sausage together is 4.25 pounds.
